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Finding the Fourth Proportional to 38,637.54, 57,951.18 and 13,678.20

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Solution

The fourth proportional to 38,637.54, 57,951.18 and 13,678.20 is: 20,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,637.54 : 57,951.18 = 13,678.20 : x
  2. Step 2: Convert to fraction form
    38,637.54/57,951.18 = 13,678.20/x
  3. Step 3: Cross multiply
    38,637.54x = 57,951.18 × 13,678.20
  4. Step 4: Simplify right side
    38,637.54x = 792,667,830.28
  5. Step 5: Solve for x
    x = 792,667,830.28/38,637.54
  6. Step 6: Final answer
    x = 20,515.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.