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Finding the Fourth Proportional to 39,382.69, 54,346.80 and 23,458.90

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Solution

The fourth proportional to 39,382.69, 54,346.80 and 23,458.90 is: 32,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382.69 : 54,346.80 = 23,458.90 : x
  2. Step 2: Convert to fraction form
    39,382.69/54,346.80 = 23,458.90/x
  3. Step 3: Cross multiply
    39,382.69x = 54,346.80 × 23,458.90
  4. Step 4: Simplify right side
    39,382.69x = 1,274,916,146.52
  5. Step 5: Solve for x
    x = 1,274,916,146.52/39,382.69
  6. Step 6: Final answer
    x = 32,372.50

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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.