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Finding the Fourth Proportional to 71,011.60, 106,516.62 and 48,757.12

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Solution

The fourth proportional to 71,011.60, 106,516.62 and 48,757.12 is: 73,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,011.60 : 106,516.62 = 48,757.12 : x
  2. Step 2: Convert to fraction form
    71,011.60/106,516.62 = 48,757.12/x
  3. Step 3: Cross multiply
    71,011.60x = 106,516.62 × 48,757.12
  4. Step 4: Simplify right side
    71,011.60x = 5,193,443,623.33
  5. Step 5: Solve for x
    x = 5,193,443,623.33/71,011.60
  6. Step 6: Final answer
    x = 73,135.14

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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.