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Finding the Fourth Proportional to 31,617.77, 43,631.12 and 17,470.31

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Solution

The fourth proportional to 31,617.77, 43,631.12 and 17,470.31 is: 24,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617.77 : 43,631.12 = 17,470.31 : x
  2. Step 2: Convert to fraction form
    31,617.77/43,631.12 = 17,470.31/x
  3. Step 3: Cross multiply
    31,617.77x = 43,631.12 × 17,470.31
  4. Step 4: Simplify right side
    31,617.77x = 762,248,886.54
  5. Step 5: Solve for x
    x = 762,248,886.54/31,617.77
  6. Step 6: Final answer
    x = 24,108.25

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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.