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Finding the Fourth Proportional to 96,177.78, 132,720.12 and 53,728.11

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Solution

The fourth proportional to 96,177.78, 132,720.12 and 53,728.11 is: 74,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,177.78 : 132,720.12 = 53,728.11 : x
  2. Step 2: Convert to fraction form
    96,177.78/132,720.12 = 53,728.11/x
  3. Step 3: Cross multiply
    96,177.78x = 132,720.12 × 53,728.11
  4. Step 4: Simplify right side
    96,177.78x = 7,130,801,206.57
  5. Step 5: Solve for x
    x = 7,130,801,206.57/96,177.78
  6. Step 6: Final answer
    x = 74,141.88

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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.