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Finding the Fourth Proportional to 96,342.72, 144,496.80 and 40,182.72

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Solution

The fourth proportional to 96,342.72, 144,496.80 and 40,182.72 is: 60,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,342.72 : 144,496.80 = 40,182.72 : x
  2. Step 2: Convert to fraction form
    96,342.72/144,496.80 = 40,182.72/x
  3. Step 3: Cross multiply
    96,342.72x = 144,496.80 × 40,182.72
  4. Step 4: Simplify right side
    96,342.72x = 5,806,274,455.30
  5. Step 5: Solve for x
    x = 5,806,274,455.30/96,342.72
  6. Step 6: Final answer
    x = 60,266.87

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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.