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Finding the Fourth Proportional to 71,856.19, 107,800.97 and 24,471.69

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Solution

The fourth proportional to 71,856.19, 107,800.97 and 24,471.69 is: 36,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.19 : 107,800.97 = 24,471.69 : x
  2. Step 2: Convert to fraction form
    71,856.19/107,800.97 = 24,471.69/x
  3. Step 3: Cross multiply
    71,856.19x = 107,800.97 × 24,471.69
  4. Step 4: Simplify right side
    71,856.19x = 2,638,071,599.41
  5. Step 5: Solve for x
    x = 2,638,071,599.41/71,856.19
  6. Step 6: Final answer
    x = 36,713.22

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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.