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Finding the Fourth Proportional to 75,325.12, 112,987.68 and 25,396

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Solution

The fourth proportional to 75,325.12, 112,987.68 and 25,396 is: 38,094

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,325.12 : 112,987.68 = 25,396 : x
  2. Step 2: Convert to fraction form
    75,325.12/112,987.68 = 25,396/x
  3. Step 3: Cross multiply
    75,325.12x = 112,987.68 × 25,396
  4. Step 4: Simplify right side
    75,325.12x = 2,869,435,121.28
  5. Step 5: Solve for x
    x = 2,869,435,121.28/75,325.12
  6. Step 6: Final answer
    x = 38,094

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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.