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Finding the Fourth Proportional to 38,484.72, 57,729.96 and 10,784.88

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Solution

The fourth proportional to 38,484.72, 57,729.96 and 10,784.88 is: 16,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.72 : 57,729.96 = 10,784.88 : x
  2. Step 2: Convert to fraction form
    38,484.72/57,729.96 = 10,784.88/x
  3. Step 3: Cross multiply
    38,484.72x = 57,729.96 × 10,784.88
  4. Step 4: Simplify right side
    38,484.72x = 622,610,691.00
  5. Step 5: Solve for x
    x = 622,610,691.00/38,484.72
  6. Step 6: Final answer
    x = 16,178.13

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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.