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Finding the Fourth Proportional to 29,947.68, 41,290.56 and 22,862.88

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Solution

The fourth proportional to 29,947.68, 41,290.56 and 22,862.88 is: 31,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947.68 : 41,290.56 = 22,862.88 : x
  2. Step 2: Convert to fraction form
    29,947.68/41,290.56 = 22,862.88/x
  3. Step 3: Cross multiply
    29,947.68x = 41,290.56 × 22,862.88
  4. Step 4: Simplify right side
    29,947.68x = 944,021,118.41
  5. Step 5: Solve for x
    x = 944,021,118.41/29,947.68
  6. Step 6: Final answer
    x = 31,522.35

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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.