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Finding the Fourth Proportional to 40,154.42, 55,407.42 and 23,156.16

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Solution

The fourth proportional to 40,154.42, 55,407.42 and 23,156.16 is: 31,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,154.42 : 55,407.42 = 23,156.16 : x
  2. Step 2: Convert to fraction form
    40,154.42/55,407.42 = 23,156.16/x
  3. Step 3: Cross multiply
    40,154.42x = 55,407.42 × 23,156.16
  4. Step 4: Simplify right side
    40,154.42x = 1,283,023,082.71
  5. Step 5: Solve for x
    x = 1,283,023,082.71/40,154.42
  6. Step 6: Final answer
    x = 31,952.23

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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.