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Finding the Fourth Proportional to 71,337.46, 107,006.74 and 21,417.98

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Solution

The fourth proportional to 71,337.46, 107,006.74 and 21,417.98 is: 32,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,337.46 : 107,006.74 = 21,417.98 : x
  2. Step 2: Convert to fraction form
    71,337.46/107,006.74 = 21,417.98/x
  3. Step 3: Cross multiply
    71,337.46x = 107,006.74 × 21,417.98
  4. Step 4: Simplify right side
    71,337.46x = 2,291,868,217.19
  5. Step 5: Solve for x
    x = 2,291,868,217.19/71,337.46
  6. Step 6: Final answer
    x = 32,127.14

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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.