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Finding the Fourth Proportional to 71,891.19, 107,803.77 and 24,487.00

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Solution

The fourth proportional to 71,891.19, 107,803.77 and 24,487.00 is: 36,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,891.19 : 107,803.77 = 24,487.00 : x
  2. Step 2: Convert to fraction form
    71,891.19/107,803.77 = 24,487.00/x
  3. Step 3: Cross multiply
    71,891.19x = 107,803.77 × 24,487.00
  4. Step 4: Simplify right side
    71,891.19x = 2,639,790,646.48
  5. Step 5: Solve for x
    x = 2,639,790,646.48/71,891.19
  6. Step 6: Final answer
    x = 36,719.25

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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.