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Finding the Fourth Proportional to 30,854.39, 42,578.75 and 17,425.35

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Solution

The fourth proportional to 30,854.39, 42,578.75 and 17,425.35 is: 24,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.39 : 42,578.75 = 17,425.35 : x
  2. Step 2: Convert to fraction form
    30,854.39/42,578.75 = 17,425.35/x
  3. Step 3: Cross multiply
    30,854.39x = 42,578.75 × 17,425.35
  4. Step 4: Simplify right side
    30,854.39x = 741,949,686.61
  5. Step 5: Solve for x
    x = 741,949,686.61/30,854.39
  6. Step 6: Final answer
    x = 24,046.81

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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.