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Finding the Fourth Proportional to 75,106.90, 112,691.76 and 32,965.24

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Solution

The fourth proportional to 75,106.90, 112,691.76 and 32,965.24 is: 49,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106.90 : 112,691.76 = 32,965.24 : x
  2. Step 2: Convert to fraction form
    75,106.90/112,691.76 = 32,965.24/x
  3. Step 3: Cross multiply
    75,106.90x = 112,691.76 × 32,965.24
  4. Step 4: Simplify right side
    75,106.90x = 3,714,910,914.42
  5. Step 5: Solve for x
    x = 3,714,910,914.42/75,106.90
  6. Step 6: Final answer
    x = 49,461.65

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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.