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Finding the Fourth Proportional to 20,784,702.80, 31,177,054.20 and 15,745,854.80

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Solution

The fourth proportional to 20,784,702.80, 31,177,054.20 and 15,745,854.80 is: 23,618,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784,702.80 : 31,177,054.20 = 15,745,854.80 : x
  2. Step 2: Convert to fraction form
    20,784,702.80/31,177,054.20 = 15,745,854.80/x
  3. Step 3: Cross multiply
    20,784,702.80x = 31,177,054.20 × 15,745,854.80
  4. Step 4: Simplify right side
    20,784,702.80x = 490,909,368,524,930.19
  5. Step 5: Solve for x
    x = 490,909,368,524,930.19/20,784,702.80
  6. Step 6: Final answer
    x = 23,618,782.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.