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Finding the Fourth Proportional to 27,154.72, 40,679.40 and 20,026

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Solution

The fourth proportional to 27,154.72, 40,679.40 and 20,026 is: 30,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.72 : 40,679.40 = 20,026 : x
  2. Step 2: Convert to fraction form
    27,154.72/40,679.40 = 20,026/x
  3. Step 3: Cross multiply
    27,154.72x = 40,679.40 × 20,026
  4. Step 4: Simplify right side
    27,154.72x = 814,645,664.40
  5. Step 5: Solve for x
    x = 814,645,664.40/27,154.72
  6. Step 6: Final answer
    x = 30,000.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.