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Finding the Fourth Proportional to 96,232.38, 132,789.10 and 53,206.06

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Solution

The fourth proportional to 96,232.38, 132,789.10 and 53,206.06 is: 73,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,232.38 : 132,789.10 = 53,206.06 : x
  2. Step 2: Convert to fraction form
    96,232.38/132,789.10 = 53,206.06/x
  3. Step 3: Cross multiply
    96,232.38x = 132,789.10 × 53,206.06
  4. Step 4: Simplify right side
    96,232.38x = 7,065,184,854.92
  5. Step 5: Solve for x
    x = 7,065,184,854.92/96,232.38
  6. Step 6: Final answer
    x = 73,417.96

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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.