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Finding the Fourth Proportional to 75,207.80, 112,811.70 and 25,271.30

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Solution

The fourth proportional to 75,207.80, 112,811.70 and 25,271.30 is: 37,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,207.80 : 112,811.70 = 25,271.30 : x
  2. Step 2: Convert to fraction form
    75,207.80/112,811.70 = 25,271.30/x
  3. Step 3: Cross multiply
    75,207.80x = 112,811.70 × 25,271.30
  4. Step 4: Simplify right side
    75,207.80x = 2,850,898,314.21
  5. Step 5: Solve for x
    x = 2,850,898,314.21/75,207.80
  6. Step 6: Final answer
    x = 37,906.95

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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.