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Finding the Fourth Proportional to 74,246.72, 111,358.76 and 24,332

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Solution

The fourth proportional to 74,246.72, 111,358.76 and 24,332 is: 36,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,246.72 : 111,358.76 = 24,332 : x
  2. Step 2: Convert to fraction form
    74,246.72/111,358.76 = 24,332/x
  3. Step 3: Cross multiply
    74,246.72x = 111,358.76 × 24,332
  4. Step 4: Simplify right side
    74,246.72x = 2,709,581,348.32
  5. Step 5: Solve for x
    x = 2,709,581,348.32/74,246.72
  6. Step 6: Final answer
    x = 36,494.29

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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.