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Finding the Fourth Proportional to 31,770.40, 43,848.96 and 18,339.82

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Solution

The fourth proportional to 31,770.40, 43,848.96 and 18,339.82 is: 25,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.40 : 43,848.96 = 18,339.82 : x
  2. Step 2: Convert to fraction form
    31,770.40/43,848.96 = 18,339.82/x
  3. Step 3: Cross multiply
    31,770.40x = 43,848.96 × 18,339.82
  4. Step 4: Simplify right side
    31,770.40x = 804,182,033.59
  5. Step 5: Solve for x
    x = 804,182,033.59/31,770.40
  6. Step 6: Final answer
    x = 25,312.30

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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.