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Finding the Fourth Proportional to 52,001.30, 71,761.80 and 28,127.96

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Solution

The fourth proportional to 52,001.30, 71,761.80 and 28,127.96 is: 38,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.30 : 71,761.80 = 28,127.96 : x
  2. Step 2: Convert to fraction form
    52,001.30/71,761.80 = 28,127.96/x
  3. Step 3: Cross multiply
    52,001.30x = 71,761.80 × 28,127.96
  4. Step 4: Simplify right side
    52,001.30x = 2,018,513,039.93
  5. Step 5: Solve for x
    x = 2,018,513,039.93/52,001.30
  6. Step 6: Final answer
    x = 38,816.59

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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.