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Finding the Fourth Proportional to 69,142.70, 103,688.13 and 29,679.50

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Solution

The fourth proportional to 69,142.70, 103,688.13 and 29,679.50 is: 44,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,142.70 : 103,688.13 = 29,679.50 : x
  2. Step 2: Convert to fraction form
    69,142.70/103,688.13 = 29,679.50/x
  3. Step 3: Cross multiply
    69,142.70x = 103,688.13 × 29,679.50
  4. Step 4: Simplify right side
    69,142.70x = 3,077,411,854.34
  5. Step 5: Solve for x
    x = 3,077,411,854.34/69,142.70
  6. Step 6: Final answer
    x = 44,508.12

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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.