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Finding the Fourth Proportional to 96,096.24, 132,597 and 53,647.92

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Solution

The fourth proportional to 96,096.24, 132,597 and 53,647.92 is: 74,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,096.24 : 132,597 = 53,647.92 : x
  2. Step 2: Convert to fraction form
    96,096.24/132,597 = 53,647.92/x
  3. Step 3: Cross multiply
    96,096.24x = 132,597 × 53,647.92
  4. Step 4: Simplify right side
    96,096.24x = 7,113,553,248.24
  5. Step 5: Solve for x
    x = 7,113,553,248.24/96,096.24
  6. Step 6: Final answer
    x = 74,025.30

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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.