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Finding the Fourth Proportional to 67,154.13, 100,737.50 and 19,769.22

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Solution

The fourth proportional to 67,154.13, 100,737.50 and 19,769.22 is: 29,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,154.13 : 100,737.50 = 19,769.22 : x
  2. Step 2: Convert to fraction form
    67,154.13/100,737.50 = 19,769.22/x
  3. Step 3: Cross multiply
    67,154.13x = 100,737.50 × 19,769.22
  4. Step 4: Simplify right side
    67,154.13x = 1,991,501,700.90
  5. Step 5: Solve for x
    x = 1,991,501,700.90/67,154.13
  6. Step 6: Final answer
    x = 29,655.68

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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.