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Finding the Fourth Proportional to 71,000.64, 106,510.56 and 24,240.96

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Solution

The fourth proportional to 71,000.64, 106,510.56 and 24,240.96 is: 36,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000.64 : 106,510.56 = 24,240.96 : x
  2. Step 2: Convert to fraction form
    71,000.64/106,510.56 = 24,240.96/x
  3. Step 3: Cross multiply
    71,000.64x = 106,510.56 × 24,240.96
  4. Step 4: Simplify right side
    71,000.64x = 2,581,918,224.54
  5. Step 5: Solve for x
    x = 2,581,918,224.54/71,000.64
  6. Step 6: Final answer
    x = 36,364.72

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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.