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Finding the Fourth Proportional to 54,471.32, 75,184.71 and 30,605.69

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Solution

The fourth proportional to 54,471.32, 75,184.71 and 30,605.69 is: 42,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471.32 : 75,184.71 = 30,605.69 : x
  2. Step 2: Convert to fraction form
    54,471.32/75,184.71 = 30,605.69/x
  3. Step 3: Cross multiply
    54,471.32x = 75,184.71 × 30,605.69
  4. Step 4: Simplify right side
    54,471.32x = 2,301,079,551.08
  5. Step 5: Solve for x
    x = 2,301,079,551.08/54,471.32
  6. Step 6: Final answer
    x = 42,243.87

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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.