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Finding the Fourth Proportional to 96,358.40, 144,422.40 and 49,587.20

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Solution

The fourth proportional to 96,358.40, 144,422.40 and 49,587.20 is: 74,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,358.40 : 144,422.40 = 49,587.20 : x
  2. Step 2: Convert to fraction form
    96,358.40/144,422.40 = 49,587.20/x
  3. Step 3: Cross multiply
    96,358.40x = 144,422.40 × 49,587.20
  4. Step 4: Simplify right side
    96,358.40x = 7,161,502,433.28
  5. Step 5: Solve for x
    x = 7,161,502,433.28/96,358.40
  6. Step 6: Final answer
    x = 74,321.52

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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.