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Finding the Fourth Proportional to 75,882.02, 113,813.02 and 23,287.10

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Solution

The fourth proportional to 75,882.02, 113,813.02 and 23,287.10 is: 34,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882.02 : 113,813.02 = 23,287.10 : x
  2. Step 2: Convert to fraction form
    75,882.02/113,813.02 = 23,287.10/x
  3. Step 3: Cross multiply
    75,882.02x = 113,813.02 × 23,287.10
  4. Step 4: Simplify right side
    75,882.02x = 2,650,375,178.04
  5. Step 5: Solve for x
    x = 2,650,375,178.04/75,882.02
  6. Step 6: Final answer
    x = 34,927.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.