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Finding the Fourth Proportional to 96,123.68, 132,631.44 and 53,675.68

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Solution

The fourth proportional to 96,123.68, 132,631.44 and 53,675.68 is: 74,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,123.68 : 132,631.44 = 53,675.68 : x
  2. Step 2: Convert to fraction form
    96,123.68/132,631.44 = 53,675.68/x
  3. Step 3: Cross multiply
    96,123.68x = 132,631.44 × 53,675.68
  4. Step 4: Simplify right side
    96,123.68x = 7,119,082,731.38
  5. Step 5: Solve for x
    x = 7,119,082,731.38/96,123.68
  6. Step 6: Final answer
    x = 74,061.70

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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.