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Finding the Fourth Proportional to 54,604.71, 75,356.92 and 30,732.93

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Solution

The fourth proportional to 54,604.71, 75,356.92 and 30,732.93 is: 42,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,604.71 : 75,356.92 = 30,732.93 : x
  2. Step 2: Convert to fraction form
    54,604.71/75,356.92 = 30,732.93/x
  3. Step 3: Cross multiply
    54,604.71x = 75,356.92 × 30,732.93
  4. Step 4: Simplify right side
    54,604.71x = 2,315,938,947.38
  5. Step 5: Solve for x
    x = 2,315,938,947.38/54,604.71
  6. Step 6: Final answer
    x = 42,412.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.