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Finding the Fourth Proportional to 41,141.88, 61,713.02 and 9,977.12

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Solution

The fourth proportional to 41,141.88, 61,713.02 and 9,977.12 is: 14,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,141.88 : 61,713.02 = 9,977.12 : x
  2. Step 2: Convert to fraction form
    41,141.88/61,713.02 = 9,977.12/x
  3. Step 3: Cross multiply
    41,141.88x = 61,713.02 × 9,977.12
  4. Step 4: Simplify right side
    41,141.88x = 615,718,206.10
  5. Step 5: Solve for x
    x = 615,718,206.10/41,141.88
  6. Step 6: Final answer
    x = 14,965.73

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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.