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Finding the Fourth Proportional to 61,882.88, 92,826.14 and 15,135.75

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Solution

The fourth proportional to 61,882.88, 92,826.14 and 15,135.75 is: 22,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,882.88 : 92,826.14 = 15,135.75 : x
  2. Step 2: Convert to fraction form
    61,882.88/92,826.14 = 15,135.75/x
  3. Step 3: Cross multiply
    61,882.88x = 92,826.14 × 15,135.75
  4. Step 4: Simplify right side
    61,882.88x = 1,404,993,172.83
  5. Step 5: Solve for x
    x = 1,404,993,172.83/61,882.88
  6. Step 6: Final answer
    x = 22,704.07

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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.