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Finding the Fourth Proportional to 27,047.11, 40,612.25 and 24,113.11

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Solution

The fourth proportional to 27,047.11, 40,612.25 and 24,113.11 is: 36,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.11 : 40,612.25 = 24,113.11 : x
  2. Step 2: Convert to fraction form
    27,047.11/40,612.25 = 24,113.11/x
  3. Step 3: Cross multiply
    27,047.11x = 40,612.25 × 24,113.11
  4. Step 4: Simplify right side
    27,047.11x = 979,287,651.60
  5. Step 5: Solve for x
    x = 979,287,651.60/27,047.11
  6. Step 6: Final answer
    x = 36,206.74

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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.