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Finding the Fourth Proportional to 75,047.89, 112,616.03 and 27,696.30

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Solution

The fourth proportional to 75,047.89, 112,616.03 and 27,696.30 is: 41,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,047.89 : 112,616.03 = 27,696.30 : x
  2. Step 2: Convert to fraction form
    75,047.89/112,616.03 = 27,696.30/x
  3. Step 3: Cross multiply
    75,047.89x = 112,616.03 × 27,696.30
  4. Step 4: Simplify right side
    75,047.89x = 3,119,046,650.13
  5. Step 5: Solve for x
    x = 3,119,046,650.13/75,047.89
  6. Step 6: Final answer
    x = 41,560.75

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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.