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Finding the Fourth Proportional to 38,177.50, 52,690.71 and 23,282.14

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Solution

The fourth proportional to 38,177.50, 52,690.71 and 23,282.14 is: 32,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177.50 : 52,690.71 = 23,282.14 : x
  2. Step 2: Convert to fraction form
    38,177.50/52,690.71 = 23,282.14/x
  3. Step 3: Cross multiply
    38,177.50x = 52,690.71 × 23,282.14
  4. Step 4: Simplify right side
    38,177.50x = 1,226,752,486.92
  5. Step 5: Solve for x
    x = 1,226,752,486.92/38,177.50
  6. Step 6: Final answer
    x = 32,132.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.