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Finding the Fourth Proportional to 71,894.80, 107,854.08 and 32,451.04

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Solution

The fourth proportional to 71,894.80, 107,854.08 and 32,451.04 is: 48,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,894.80 : 107,854.08 = 32,451.04 : x
  2. Step 2: Convert to fraction form
    71,894.80/107,854.08 = 32,451.04/x
  3. Step 3: Cross multiply
    71,894.80x = 107,854.08 × 32,451.04
  4. Step 4: Simplify right side
    71,894.80x = 3,499,977,064.24
  5. Step 5: Solve for x
    x = 3,499,977,064.24/71,894.80
  6. Step 6: Final answer
    x = 48,681.92

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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.