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Finding the Fourth Proportional to 59,398.29, 81,971.70 and 32,543.13

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Solution

The fourth proportional to 59,398.29, 81,971.70 and 32,543.13 is: 44,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,398.29 : 81,971.70 = 32,543.13 : x
  2. Step 2: Convert to fraction form
    59,398.29/81,971.70 = 32,543.13/x
  3. Step 3: Cross multiply
    59,398.29x = 81,971.70 × 32,543.13
  4. Step 4: Simplify right side
    59,398.29x = 2,667,615,689.42
  5. Step 5: Solve for x
    x = 2,667,615,689.42/59,398.29
  6. Step 6: Final answer
    x = 44,910.65

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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.