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Finding the Fourth Proportional to 52,714, 72,746.39 and 28,841.19

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Solution

The fourth proportional to 52,714, 72,746.39 and 28,841.19 is: 39,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714 : 72,746.39 = 28,841.19 : x
  2. Step 2: Convert to fraction form
    52,714/72,746.39 = 28,841.19/x
  3. Step 3: Cross multiply
    52,714x = 72,746.39 × 28,841.19
  4. Step 4: Simplify right side
    52,714x = 2,098,092,455.80
  5. Step 5: Solve for x
    x = 2,098,092,455.80/52,714
  6. Step 6: Final answer
    x = 39,801.43

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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.