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Finding the Fourth Proportional to 52,567.80, 78,851.70 and 15,631.80

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Solution

The fourth proportional to 52,567.80, 78,851.70 and 15,631.80 is: 23,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,567.80 : 78,851.70 = 15,631.80 : x
  2. Step 2: Convert to fraction form
    52,567.80/78,851.70 = 15,631.80/x
  3. Step 3: Cross multiply
    52,567.80x = 78,851.70 × 15,631.80
  4. Step 4: Simplify right side
    52,567.80x = 1,232,594,004.06
  5. Step 5: Solve for x
    x = 1,232,594,004.06/52,567.80
  6. Step 6: Final answer
    x = 23,447.70

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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.