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Finding the Fourth Proportional to 95,233, 142,838.52 and 38,304.76

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Solution

The fourth proportional to 95,233, 142,838.52 and 38,304.76 is: 57,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,233 : 142,838.52 = 38,304.76 : x
  2. Step 2: Convert to fraction form
    95,233/142,838.52 = 38,304.76/x
  3. Step 3: Cross multiply
    95,233x = 142,838.52 × 38,304.76
  4. Step 4: Simplify right side
    95,233x = 5,471,395,227.36
  5. Step 5: Solve for x
    x = 5,471,395,227.36/95,233
  6. Step 6: Final answer
    x = 57,452.72

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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.