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Finding the Fourth Proportional to 27,042.56, 40,465.16 and 15,954.56

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Solution

The fourth proportional to 27,042.56, 40,465.16 and 15,954.56 is: 23,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.56 : 40,465.16 = 15,954.56 : x
  2. Step 2: Convert to fraction form
    27,042.56/40,465.16 = 15,954.56/x
  3. Step 3: Cross multiply
    27,042.56x = 40,465.16 × 15,954.56
  4. Step 4: Simplify right side
    27,042.56x = 645,603,823.13
  5. Step 5: Solve for x
    x = 645,603,823.13/27,042.56
  6. Step 6: Final answer
    x = 23,873.62

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Why These Related Problems?

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