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Finding the Fourth Proportional to 54,182.24, 74,774.84 and 30,310.52

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Solution

The fourth proportional to 54,182.24, 74,774.84 and 30,310.52 is: 41,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,182.24 : 74,774.84 = 30,310.52 : x
  2. Step 2: Convert to fraction form
    54,182.24/74,774.84 = 30,310.52/x
  3. Step 3: Cross multiply
    54,182.24x = 74,774.84 × 30,310.52
  4. Step 4: Simplify right side
    54,182.24x = 2,266,464,283.32
  5. Step 5: Solve for x
    x = 2,266,464,283.32/54,182.24
  6. Step 6: Final answer
    x = 41,830.39

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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.