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Finding the Fourth Proportional to 41,180.12, 56,824.02 and 23,275.12

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Solution

The fourth proportional to 41,180.12, 56,824.02 and 23,275.12 is: 32,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,180.12 : 56,824.02 = 23,275.12 : x
  2. Step 2: Convert to fraction form
    41,180.12/56,824.02 = 23,275.12/x
  3. Step 3: Cross multiply
    41,180.12x = 56,824.02 × 23,275.12
  4. Step 4: Simplify right side
    41,180.12x = 1,322,585,884.38
  5. Step 5: Solve for x
    x = 1,322,585,884.38/41,180.12
  6. Step 6: Final answer
    x = 32,117.10

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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.