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Finding the Fourth Proportional to 92,289.40, 138,434.10 and 29,959.90

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Solution

The fourth proportional to 92,289.40, 138,434.10 and 29,959.90 is: 44,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,289.40 : 138,434.10 = 29,959.90 : x
  2. Step 2: Convert to fraction form
    92,289.40/138,434.10 = 29,959.90/x
  3. Step 3: Cross multiply
    92,289.40x = 138,434.10 × 29,959.90
  4. Step 4: Simplify right side
    92,289.40x = 4,147,471,792.59
  5. Step 5: Solve for x
    x = 4,147,471,792.59/92,289.40
  6. Step 6: Final answer
    x = 44,939.85

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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.