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Finding the Fourth Proportional to 42,382.42, 58,490.46 and 23,519.54

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Solution

The fourth proportional to 42,382.42, 58,490.46 and 23,519.54 is: 32,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382.42 : 58,490.46 = 23,519.54 : x
  2. Step 2: Convert to fraction form
    42,382.42/58,490.46 = 23,519.54/x
  3. Step 3: Cross multiply
    42,382.42x = 58,490.46 × 23,519.54
  4. Step 4: Simplify right side
    42,382.42x = 1,375,668,859.81
  5. Step 5: Solve for x
    x = 1,375,668,859.81/42,382.42
  6. Step 6: Final answer
    x = 32,458.48

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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.