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Finding the Fourth Proportional to 51,854.32, 77,793.90 and 16,794.04

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Solution

The fourth proportional to 51,854.32, 77,793.90 and 16,794.04 is: 25,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.32 : 77,793.90 = 16,794.04 : x
  2. Step 2: Convert to fraction form
    51,854.32/77,793.90 = 16,794.04/x
  3. Step 3: Cross multiply
    51,854.32x = 77,793.90 × 16,794.04
  4. Step 4: Simplify right side
    51,854.32x = 1,306,473,868.36
  5. Step 5: Solve for x
    x = 1,306,473,868.36/51,854.32
  6. Step 6: Final answer
    x = 25,195.08

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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.