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Finding the Fourth Proportional to 61,581.88, 92,335.80 and 24,097.24

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Solution

The fourth proportional to 61,581.88, 92,335.80 and 24,097.24 is: 36,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,581.88 : 92,335.80 = 24,097.24 : x
  2. Step 2: Convert to fraction form
    61,581.88/92,335.80 = 24,097.24/x
  3. Step 3: Cross multiply
    61,581.88x = 92,335.80 × 24,097.24
  4. Step 4: Simplify right side
    61,581.88x = 2,225,037,933.19
  5. Step 5: Solve for x
    x = 2,225,037,933.19/61,581.88
  6. Step 6: Final answer
    x = 36,131.37

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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.