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Finding the Fourth Proportional to 41,218.92, 56,882.46 and 22,356

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Solution

The fourth proportional to 41,218.92, 56,882.46 and 22,356 is: 30,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,218.92 : 56,882.46 = 22,356 : x
  2. Step 2: Convert to fraction form
    41,218.92/56,882.46 = 22,356/x
  3. Step 3: Cross multiply
    41,218.92x = 56,882.46 × 22,356
  4. Step 4: Simplify right side
    41,218.92x = 1,271,664,275.76
  5. Step 5: Solve for x
    x = 1,271,664,275.76/41,218.92
  6. Step 6: Final answer
    x = 30,851.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.