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Finding the Fourth Proportional to 31,702.32, 43,758.90 and 18,282.51

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Solution

The fourth proportional to 31,702.32, 43,758.90 and 18,282.51 is: 25,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.32 : 43,758.90 = 18,282.51 : x
  2. Step 2: Convert to fraction form
    31,702.32/43,758.90 = 18,282.51/x
  3. Step 3: Cross multiply
    31,702.32x = 43,758.90 × 18,282.51
  4. Step 4: Simplify right side
    31,702.32x = 800,022,526.84
  5. Step 5: Solve for x
    x = 800,022,526.84/31,702.32
  6. Step 6: Final answer
    x = 25,235.46

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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.