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Finding the Fourth Proportional to 75,206.52, 112,811.40 and 25,288.20

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Solution

The fourth proportional to 75,206.52, 112,811.40 and 25,288.20 is: 37,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,206.52 : 112,811.40 = 25,288.20 : x
  2. Step 2: Convert to fraction form
    75,206.52/112,811.40 = 25,288.20/x
  3. Step 3: Cross multiply
    75,206.52x = 112,811.40 × 25,288.20
  4. Step 4: Simplify right side
    75,206.52x = 2,852,797,245.48
  5. Step 5: Solve for x
    x = 2,852,797,245.48/75,206.52
  6. Step 6: Final answer
    x = 37,932.84

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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.