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Finding the Fourth Proportional to 31,595.34, 43,601.58 and 17,449.14

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Solution

The fourth proportional to 31,595.34, 43,601.58 and 17,449.14 is: 24,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.34 : 43,601.58 = 17,449.14 : x
  2. Step 2: Convert to fraction form
    31,595.34/43,601.58 = 17,449.14/x
  3. Step 3: Cross multiply
    31,595.34x = 43,601.58 × 17,449.14
  4. Step 4: Simplify right side
    31,595.34x = 760,810,073.64
  5. Step 5: Solve for x
    x = 760,810,073.64/31,595.34
  6. Step 6: Final answer
    x = 24,079.82

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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.