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Finding the Fourth Proportional to 54,140.48, 74,713.52 and 30,267.04

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Solution

The fourth proportional to 54,140.48, 74,713.52 and 30,267.04 is: 41,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,140.48 : 74,713.52 = 30,267.04 : x
  2. Step 2: Convert to fraction form
    54,140.48/74,713.52 = 30,267.04/x
  3. Step 3: Cross multiply
    54,140.48x = 74,713.52 × 30,267.04
  4. Step 4: Simplify right side
    54,140.48x = 2,261,357,098.38
  5. Step 5: Solve for x
    x = 2,261,357,098.38/54,140.48
  6. Step 6: Final answer
    x = 41,768.32

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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.