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Finding the Fourth Proportional to 30,115.38, 41,574.96 and 23,385.90

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Solution

The fourth proportional to 30,115.38, 41,574.96 and 23,385.90 is: 32,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,115.38 : 41,574.96 = 23,385.90 : x
  2. Step 2: Convert to fraction form
    30,115.38/41,574.96 = 23,385.90/x
  3. Step 3: Cross multiply
    30,115.38x = 41,574.96 × 23,385.90
  4. Step 4: Simplify right side
    30,115.38x = 972,267,857.06
  5. Step 5: Solve for x
    x = 972,267,857.06/30,115.38
  6. Step 6: Final answer
    x = 32,284.76

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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.