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Finding the Fourth Proportional to 54,340.76, 74,982.11 and 31,055.42

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Solution

The fourth proportional to 54,340.76, 74,982.11 and 31,055.42 is: 42,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,340.76 : 74,982.11 = 31,055.42 : x
  2. Step 2: Convert to fraction form
    54,340.76/74,982.11 = 31,055.42/x
  3. Step 3: Cross multiply
    54,340.76x = 74,982.11 × 31,055.42
  4. Step 4: Simplify right side
    54,340.76x = 2,328,600,950.71
  5. Step 5: Solve for x
    x = 2,328,600,950.71/54,340.76
  6. Step 6: Final answer
    x = 42,851.83

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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.