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Finding the Fourth Proportional to 64,471.10, 96,706.17 and 45,417.30

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Solution

The fourth proportional to 64,471.10, 96,706.17 and 45,417.30 is: 68,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,471.10 : 96,706.17 = 45,417.30 : x
  2. Step 2: Convert to fraction form
    64,471.10/96,706.17 = 45,417.30/x
  3. Step 3: Cross multiply
    64,471.10x = 96,706.17 × 45,417.30
  4. Step 4: Simplify right side
    64,471.10x = 4,392,133,134.74
  5. Step 5: Solve for x
    x = 4,392,133,134.74/64,471.10
  6. Step 6: Final answer
    x = 68,125.62

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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.