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Finding the Fourth Proportional to 96,422.60, 144,633.90 and 49,766.60

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Solution

The fourth proportional to 96,422.60, 144,633.90 and 49,766.60 is: 74,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,422.60 : 144,633.90 = 49,766.60 : x
  2. Step 2: Convert to fraction form
    96,422.60/144,633.90 = 49,766.60/x
  3. Step 3: Cross multiply
    96,422.60x = 144,633.90 × 49,766.60
  4. Step 4: Simplify right side
    96,422.60x = 7,197,937,447.74
  5. Step 5: Solve for x
    x = 7,197,937,447.74/96,422.60
  6. Step 6: Final answer
    x = 74,649.90

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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.