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Finding the Fourth Proportional to 27,428.16, 41,126.40 and 24,147.84

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Solution

The fourth proportional to 27,428.16, 41,126.40 and 24,147.84 is: 36,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.16 : 41,126.40 = 24,147.84 : x
  2. Step 2: Convert to fraction form
    27,428.16/41,126.40 = 24,147.84/x
  3. Step 3: Cross multiply
    27,428.16x = 41,126.40 × 24,147.84
  4. Step 4: Simplify right side
    27,428.16x = 993,113,726.98
  5. Step 5: Solve for x
    x = 993,113,726.98/27,428.16
  6. Step 6: Final answer
    x = 36,207.81

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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.