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Finding the Fourth Proportional to 67,677.96, 101,516.62 and 45,141

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Solution

The fourth proportional to 67,677.96, 101,516.62 and 45,141 is: 67,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,677.96 : 101,516.62 = 45,141 : x
  2. Step 2: Convert to fraction form
    67,677.96/101,516.62 = 45,141/x
  3. Step 3: Cross multiply
    67,677.96x = 101,516.62 × 45,141
  4. Step 4: Simplify right side
    67,677.96x = 4,582,561,743.42
  5. Step 5: Solve for x
    x = 4,582,561,743.42/67,677.96
  6. Step 6: Final answer
    x = 67,711.29

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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.