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Finding the Fourth Proportional to 68,061.92, 102,038.48 and 34,309.76

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Solution

The fourth proportional to 68,061.92, 102,038.48 and 34,309.76 is: 51,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,061.92 : 102,038.48 = 34,309.76 : x
  2. Step 2: Convert to fraction form
    68,061.92/102,038.48 = 34,309.76/x
  3. Step 3: Cross multiply
    68,061.92x = 102,038.48 × 34,309.76
  4. Step 4: Simplify right side
    68,061.92x = 3,500,915,759.56
  5. Step 5: Solve for x
    x = 3,500,915,759.56/68,061.92
  6. Step 6: Final answer
    x = 51,437.22

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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.