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Finding the Fourth Proportional to 40,541.92, 55,948.80 and 22,636.32

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Solution

The fourth proportional to 40,541.92, 55,948.80 and 22,636.32 is: 31,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,541.92 : 55,948.80 = 22,636.32 : x
  2. Step 2: Convert to fraction form
    40,541.92/55,948.80 = 22,636.32/x
  3. Step 3: Cross multiply
    40,541.92x = 55,948.80 × 22,636.32
  4. Step 4: Simplify right side
    40,541.92x = 1,266,474,940.42
  5. Step 5: Solve for x
    x = 1,266,474,940.42/40,541.92
  6. Step 6: Final answer
    x = 31,238.65

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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.