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Finding the Fourth Proportional to 154,572.28, 231,891.68 and 47,954.12

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Solution

The fourth proportional to 154,572.28, 231,891.68 and 47,954.12 is: 71,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,572.28 : 231,891.68 = 47,954.12 : x
  2. Step 2: Convert to fraction form
    154,572.28/231,891.68 = 47,954.12/x
  3. Step 3: Cross multiply
    154,572.28x = 231,891.68 × 47,954.12
  4. Step 4: Simplify right side
    154,572.28x = 11,120,161,449.72
  5. Step 5: Solve for x
    x = 11,120,161,449.72/154,572.28
  6. Step 6: Final answer
    x = 71,941.50

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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.