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Finding the Fourth Proportional to 27,102, 40,655.16 and 7,382.16

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Solution

The fourth proportional to 27,102, 40,655.16 and 7,382.16 is: 11,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102 : 40,655.16 = 7,382.16 : x
  2. Step 2: Convert to fraction form
    27,102/40,655.16 = 7,382.16/x
  3. Step 3: Cross multiply
    27,102x = 40,655.16 × 7,382.16
  4. Step 4: Simplify right side
    27,102x = 300,122,895.95
  5. Step 5: Solve for x
    x = 300,122,895.95/27,102
  6. Step 6: Final answer
    x = 11,073.83

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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.