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Finding the Fourth Proportional to 67,884.70, 101,826.96 and 38,289.10

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Solution

The fourth proportional to 67,884.70, 101,826.96 and 38,289.10 is: 57,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,884.70 : 101,826.96 = 38,289.10 : x
  2. Step 2: Convert to fraction form
    67,884.70/101,826.96 = 38,289.10/x
  3. Step 3: Cross multiply
    67,884.70x = 101,826.96 × 38,289.10
  4. Step 4: Simplify right side
    67,884.70x = 3,898,862,654.14
  5. Step 5: Solve for x
    x = 3,898,862,654.14/67,884.70
  6. Step 6: Final answer
    x = 57,433.60

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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.