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Finding the Fourth Proportional to 31,695.88, 43,740.66 and 17,549

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Solution

The fourth proportional to 31,695.88, 43,740.66 and 17,549 is: 24,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695.88 : 43,740.66 = 17,549 : x
  2. Step 2: Convert to fraction form
    31,695.88/43,740.66 = 17,549/x
  3. Step 3: Cross multiply
    31,695.88x = 43,740.66 × 17,549
  4. Step 4: Simplify right side
    31,695.88x = 767,604,842.34
  5. Step 5: Solve for x
    x = 767,604,842.34/31,695.88
  6. Step 6: Final answer
    x = 24,217.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.