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Finding the Fourth Proportional to 54,677.33, 75,454.98 and 30,804.38

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Solution

The fourth proportional to 54,677.33, 75,454.98 and 30,804.38 is: 42,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677.33 : 75,454.98 = 30,804.38 : x
  2. Step 2: Convert to fraction form
    54,677.33/75,454.98 = 30,804.38/x
  3. Step 3: Cross multiply
    54,677.33x = 75,454.98 × 30,804.38
  4. Step 4: Simplify right side
    54,677.33x = 2,324,343,876.81
  5. Step 5: Solve for x
    x = 2,324,343,876.81/54,677.33
  6. Step 6: Final answer
    x = 42,510.19

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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.