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Finding the Fourth Proportional to 67,507.92, 101,264.68 and 23,165.16

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Solution

The fourth proportional to 67,507.92, 101,264.68 and 23,165.16 is: 34,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,507.92 : 101,264.68 = 23,165.16 : x
  2. Step 2: Convert to fraction form
    67,507.92/101,264.68 = 23,165.16/x
  3. Step 3: Cross multiply
    67,507.92x = 101,264.68 × 23,165.16
  4. Step 4: Simplify right side
    67,507.92x = 2,345,812,514.55
  5. Step 5: Solve for x
    x = 2,345,812,514.55/67,507.92
  6. Step 6: Final answer
    x = 34,748.70

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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.