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Finding the Fourth Proportional to 27,681.78, 38,200.50 and 15,105.72

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Solution

The fourth proportional to 27,681.78, 38,200.50 and 15,105.72 is: 20,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.78 : 38,200.50 = 15,105.72 : x
  2. Step 2: Convert to fraction form
    27,681.78/38,200.50 = 15,105.72/x
  3. Step 3: Cross multiply
    27,681.78x = 38,200.50 × 15,105.72
  4. Step 4: Simplify right side
    27,681.78x = 577,046,056.86
  5. Step 5: Solve for x
    x = 577,046,056.86/27,681.78
  6. Step 6: Final answer
    x = 20,845.70

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