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Finding the Fourth Proportional to 52,472.54, 72,354.94 and 35,447.22

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Solution

The fourth proportional to 52,472.54, 72,354.94 and 35,447.22 is: 48,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472.54 : 72,354.94 = 35,447.22 : x
  2. Step 2: Convert to fraction form
    52,472.54/72,354.94 = 35,447.22/x
  3. Step 3: Cross multiply
    52,472.54x = 72,354.94 × 35,447.22
  4. Step 4: Simplify right side
    52,472.54x = 2,564,781,387.65
  5. Step 5: Solve for x
    x = 2,564,781,387.65/52,472.54
  6. Step 6: Final answer
    x = 48,878.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.