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Finding the Fourth Proportional to 96,481.34, 144,742.80 and 29,920.13

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Solution

The fourth proportional to 96,481.34, 144,742.80 and 29,920.13 is: 44,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,481.34 : 144,742.80 = 29,920.13 : x
  2. Step 2: Convert to fraction form
    96,481.34/144,742.80 = 29,920.13/x
  3. Step 3: Cross multiply
    96,481.34x = 144,742.80 × 29,920.13
  4. Step 4: Simplify right side
    96,481.34x = 4,330,723,392.56
  5. Step 5: Solve for x
    x = 4,330,723,392.56/96,481.34
  6. Step 6: Final answer
    x = 44,886.64

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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.