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Finding the Fourth Proportional to 31,740.84, 43,800.06 and 17,398.38

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Solution

The fourth proportional to 31,740.84, 43,800.06 and 17,398.38 is: 24,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740.84 : 43,800.06 = 17,398.38 : x
  2. Step 2: Convert to fraction form
    31,740.84/43,800.06 = 17,398.38/x
  3. Step 3: Cross multiply
    31,740.84x = 43,800.06 × 17,398.38
  4. Step 4: Simplify right side
    31,740.84x = 762,050,087.90
  5. Step 5: Solve for x
    x = 762,050,087.90/31,740.84
  6. Step 6: Final answer
    x = 24,008.50

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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.