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Finding the Fourth Proportional to 31,758.69, 43,825.95 and 17,612.58

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Solution

The fourth proportional to 31,758.69, 43,825.95 and 17,612.58 is: 24,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.69 : 43,825.95 = 17,612.58 : x
  2. Step 2: Convert to fraction form
    31,758.69/43,825.95 = 17,612.58/x
  3. Step 3: Cross multiply
    31,758.69x = 43,825.95 × 17,612.58
  4. Step 4: Simplify right side
    31,758.69x = 771,888,050.45
  5. Step 5: Solve for x
    x = 771,888,050.45/31,758.69
  6. Step 6: Final answer
    x = 24,304.78

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