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Finding the Fourth Proportional to 40,536.40, 55,940.64 and 23,541.76

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Solution

The fourth proportional to 40,536.40, 55,940.64 and 23,541.76 is: 32,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,536.40 : 55,940.64 = 23,541.76 : x
  2. Step 2: Convert to fraction form
    40,536.40/55,940.64 = 23,541.76/x
  3. Step 3: Cross multiply
    40,536.40x = 55,940.64 × 23,541.76
  4. Step 4: Simplify right side
    40,536.40x = 1,316,941,121.13
  5. Step 5: Solve for x
    x = 1,316,941,121.13/40,536.40
  6. Step 6: Final answer
    x = 32,487.87

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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.