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Finding the Fourth Proportional to 27,122.87, 40,713.06 and 24,023

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Solution

The fourth proportional to 27,122.87, 40,713.06 and 24,023 is: 36,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.87 : 40,713.06 = 24,023 : x
  2. Step 2: Convert to fraction form
    27,122.87/40,713.06 = 24,023/x
  3. Step 3: Cross multiply
    27,122.87x = 40,713.06 × 24,023
  4. Step 4: Simplify right side
    27,122.87x = 978,049,840.38
  5. Step 5: Solve for x
    x = 978,049,840.38/27,122.87
  6. Step 6: Final answer
    x = 36,059.97

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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.