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Finding the Fourth Proportional to 73,909.46, 110,875.13 and 27,158.69

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Solution

The fourth proportional to 73,909.46, 110,875.13 and 27,158.69 is: 40,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,909.46 : 110,875.13 = 27,158.69 : x
  2. Step 2: Convert to fraction form
    73,909.46/110,875.13 = 27,158.69/x
  3. Step 3: Cross multiply
    73,909.46x = 110,875.13 × 27,158.69
  4. Step 4: Simplify right side
    73,909.46x = 3,011,223,284.38
  5. Step 5: Solve for x
    x = 3,011,223,284.38/73,909.46
  6. Step 6: Final answer
    x = 40,742.06

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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.