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Finding the Fourth Proportional to 54,211.69, 74,805.42 and 30,332.35

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Solution

The fourth proportional to 54,211.69, 74,805.42 and 30,332.35 is: 41,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,211.69 : 74,805.42 = 30,332.35 : x
  2. Step 2: Convert to fraction form
    54,211.69/74,805.42 = 30,332.35/x
  3. Step 3: Cross multiply
    54,211.69x = 74,805.42 × 30,332.35
  4. Step 4: Simplify right side
    54,211.69x = 2,269,024,181.34
  5. Step 5: Solve for x
    x = 2,269,024,181.34/54,211.69
  6. Step 6: Final answer
    x = 41,854.89

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