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Finding the Fourth Proportional to 70,829.92, 106,322.72 and 39,691.36

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Solution

The fourth proportional to 70,829.92, 106,322.72 and 39,691.36 is: 59,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,829.92 : 106,322.72 = 39,691.36 : x
  2. Step 2: Convert to fraction form
    70,829.92/106,322.72 = 39,691.36/x
  3. Step 3: Cross multiply
    70,829.92x = 106,322.72 × 39,691.36
  4. Step 4: Simplify right side
    70,829.92x = 4,220,093,355.70
  5. Step 5: Solve for x
    x = 4,220,093,355.70/70,829.92
  6. Step 6: Final answer
    x = 59,580.66

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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.