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Finding the Fourth Proportional to 27,639.68, 41,459.13 and 16,549.43

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Solution

The fourth proportional to 27,639.68, 41,459.13 and 16,549.43 is: 24,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,639.68 : 41,459.13 = 16,549.43 : x
  2. Step 2: Convert to fraction form
    27,639.68/41,459.13 = 16,549.43/x
  3. Step 3: Cross multiply
    27,639.68x = 41,459.13 × 16,549.43
  4. Step 4: Simplify right side
    27,639.68x = 686,124,762.50
  5. Step 5: Solve for x
    x = 686,124,762.50/27,639.68
  6. Step 6: Final answer
    x = 24,823.91

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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.