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Finding the Fourth Proportional to 71,827.64, 107,674.94 and 36,689.80

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Solution

The fourth proportional to 71,827.64, 107,674.94 and 36,689.80 is: 55,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,827.64 : 107,674.94 = 36,689.80 : x
  2. Step 2: Convert to fraction form
    71,827.64/107,674.94 = 36,689.80/x
  3. Step 3: Cross multiply
    71,827.64x = 107,674.94 × 36,689.80
  4. Step 4: Simplify right side
    71,827.64x = 3,950,572,013.61
  5. Step 5: Solve for x
    x = 3,950,572,013.61/71,827.64
  6. Step 6: Final answer
    x = 55,000.72

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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.