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Finding the Fourth Proportional to 41,000.40, 56,458.44 and 38,023.38

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Solution

The fourth proportional to 41,000.40, 56,458.44 and 38,023.38 is: 52,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,000.40 : 56,458.44 = 38,023.38 : x
  2. Step 2: Convert to fraction form
    41,000.40/56,458.44 = 38,023.38/x
  3. Step 3: Cross multiply
    41,000.40x = 56,458.44 × 38,023.38
  4. Step 4: Simplify right side
    41,000.40x = 2,146,740,718.33
  5. Step 5: Solve for x
    x = 2,146,740,718.33/41,000.40
  6. Step 6: Final answer
    x = 52,359.02

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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.