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Finding the Fourth Proportional to 40,475.38, 55,858 and 23,479.42

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Solution

The fourth proportional to 40,475.38, 55,858 and 23,479.42 is: 32,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,475.38 : 55,858 = 23,479.42 : x
  2. Step 2: Convert to fraction form
    40,475.38/55,858 = 23,479.42/x
  3. Step 3: Cross multiply
    40,475.38x = 55,858 × 23,479.42
  4. Step 4: Simplify right side
    40,475.38x = 1,311,513,442.36
  5. Step 5: Solve for x
    x = 1,311,513,442.36/40,475.38
  6. Step 6: Final answer
    x = 32,402.75

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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.