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Finding the Fourth Proportional to 40,170.08, 55,433.76 and 23,402

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Solution

The fourth proportional to 40,170.08, 55,433.76 and 23,402 is: 32,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,170.08 : 55,433.76 = 23,402 : x
  2. Step 2: Convert to fraction form
    40,170.08/55,433.76 = 23,402/x
  3. Step 3: Cross multiply
    40,170.08x = 55,433.76 × 23,402
  4. Step 4: Simplify right side
    40,170.08x = 1,297,260,851.52
  5. Step 5: Solve for x
    x = 1,297,260,851.52/40,170.08
  6. Step 6: Final answer
    x = 32,294.21

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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.