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Finding the Fourth Proportional to 61,141.88, 91,720.98 and 24,197.24

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Solution

The fourth proportional to 61,141.88, 91,720.98 and 24,197.24 is: 36,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,141.88 : 91,720.98 = 24,197.24 : x
  2. Step 2: Convert to fraction form
    61,141.88/91,720.98 = 24,197.24/x
  3. Step 3: Cross multiply
    61,141.88x = 91,720.98 × 24,197.24
  4. Step 4: Simplify right side
    61,141.88x = 2,219,394,566.10
  5. Step 5: Solve for x
    x = 2,219,394,566.10/61,141.88
  6. Step 6: Final answer
    x = 36,299.09

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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.