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Finding the Fourth Proportional to 72,761.40, 109,158.54 and 22,841.31

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Solution

The fourth proportional to 72,761.40, 109,158.54 and 22,841.31 is: 34,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,761.40 : 109,158.54 = 22,841.31 : x
  2. Step 2: Convert to fraction form
    72,761.40/109,158.54 = 22,841.31/x
  3. Step 3: Cross multiply
    72,761.40x = 109,158.54 × 22,841.31
  4. Step 4: Simplify right side
    72,761.40x = 2,493,324,051.29
  5. Step 5: Solve for x
    x = 2,493,324,051.29/72,761.40
  6. Step 6: Final answer
    x = 34,267.13

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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.