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Finding the Fourth Proportional to 67,461.71, 101,174.10 and 25,338.54

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Solution

The fourth proportional to 67,461.71, 101,174.10 and 25,338.54 is: 38,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,461.71 : 101,174.10 = 25,338.54 : x
  2. Step 2: Convert to fraction form
    67,461.71/101,174.10 = 25,338.54/x
  3. Step 3: Cross multiply
    67,461.71x = 101,174.10 × 25,338.54
  4. Step 4: Simplify right side
    67,461.71x = 2,563,603,979.81
  5. Step 5: Solve for x
    x = 2,563,603,979.81/67,461.71
  6. Step 6: Final answer
    x = 38,000.87

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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.