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Finding the Fourth Proportional to 70,666, 106,047.60 and 29,113

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Solution

The fourth proportional to 70,666, 106,047.60 and 29,113 is: 43,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,666 : 106,047.60 = 29,113 : x
  2. Step 2: Convert to fraction form
    70,666/106,047.60 = 29,113/x
  3. Step 3: Cross multiply
    70,666x = 106,047.60 × 29,113
  4. Step 4: Simplify right side
    70,666x = 3,087,363,778.80
  5. Step 5: Solve for x
    x = 3,087,363,778.80/70,666
  6. Step 6: Final answer
    x = 43,689.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.