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Finding the Fourth Proportional to 27,807.63, 41,753.09 and 24,071.01

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Solution

The fourth proportional to 27,807.63, 41,753.09 and 24,071.01 is: 36,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.63 : 41,753.09 = 24,071.01 : x
  2. Step 2: Convert to fraction form
    27,807.63/41,753.09 = 24,071.01/x
  3. Step 3: Cross multiply
    27,807.63x = 41,753.09 × 24,071.01
  4. Step 4: Simplify right side
    27,807.63x = 1,005,039,046.92
  5. Step 5: Solve for x
    x = 1,005,039,046.92/27,807.63
  6. Step 6: Final answer
    x = 36,142.56

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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.