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Finding the Fourth Proportional to 96,514.80, 144,766.80 and 29,954.40

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Solution

The fourth proportional to 96,514.80, 144,766.80 and 29,954.40 is: 44,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,514.80 : 144,766.80 = 29,954.40 : x
  2. Step 2: Convert to fraction form
    96,514.80/144,766.80 = 29,954.40/x
  3. Step 3: Cross multiply
    96,514.80x = 144,766.80 × 29,954.40
  4. Step 4: Simplify right side
    96,514.80x = 4,336,402,633.92
  5. Step 5: Solve for x
    x = 4,336,402,633.92/96,514.80
  6. Step 6: Final answer
    x = 44,929.92

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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.