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Finding the Fourth Proportional to 54,305.65, 74,938.71 and 31,648.33

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Solution

The fourth proportional to 54,305.65, 74,938.71 and 31,648.33 is: 43,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,305.65 : 74,938.71 = 31,648.33 : x
  2. Step 2: Convert to fraction form
    54,305.65/74,938.71 = 31,648.33/x
  3. Step 3: Cross multiply
    54,305.65x = 74,938.71 × 31,648.33
  4. Step 4: Simplify right side
    54,305.65x = 2,371,685,023.85
  5. Step 5: Solve for x
    x = 2,371,685,023.85/54,305.65
  6. Step 6: Final answer
    x = 43,672.90

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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.