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Finding the Fourth Proportional to 31,042.84, 42,840.52 and 18,296.56

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Solution

The fourth proportional to 31,042.84, 42,840.52 and 18,296.56 is: 25,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.84 : 42,840.52 = 18,296.56 : x
  2. Step 2: Convert to fraction form
    31,042.84/42,840.52 = 18,296.56/x
  3. Step 3: Cross multiply
    31,042.84x = 42,840.52 × 18,296.56
  4. Step 4: Simplify right side
    31,042.84x = 783,834,144.61
  5. Step 5: Solve for x
    x = 783,834,144.61/31,042.84
  6. Step 6: Final answer
    x = 25,250.08

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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.