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Finding the Fourth Proportional to 96,502.40, 144,638.40 and 49,731.20

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Solution

The fourth proportional to 96,502.40, 144,638.40 and 49,731.20 is: 74,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,502.40 : 144,638.40 = 49,731.20 : x
  2. Step 2: Convert to fraction form
    96,502.40/144,638.40 = 49,731.20/x
  3. Step 3: Cross multiply
    96,502.40x = 144,638.40 × 49,731.20
  4. Step 4: Simplify right side
    96,502.40x = 7,193,041,198.08
  5. Step 5: Solve for x
    x = 7,193,041,198.08/96,502.40
  6. Step 6: Final answer
    x = 74,537.43

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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.