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Finding the Fourth Proportional to 34,112.10, 47,049.55 and 22,776.15

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Solution

The fourth proportional to 34,112.10, 47,049.55 and 22,776.15 is: 31,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112.10 : 47,049.55 = 22,776.15 : x
  2. Step 2: Convert to fraction form
    34,112.10/47,049.55 = 22,776.15/x
  3. Step 3: Cross multiply
    34,112.10x = 47,049.55 × 22,776.15
  4. Step 4: Simplify right side
    34,112.10x = 1,071,607,608.23
  5. Step 5: Solve for x
    x = 1,071,607,608.23/34,112.10
  6. Step 6: Final answer
    x = 31,414.30

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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.