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Finding the Fourth Proportional to 89,751.20, 123,856.08 and 49,465

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Solution

The fourth proportional to 89,751.20, 123,856.08 and 49,465 is: 68,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,751.20 : 123,856.08 = 49,465 : x
  2. Step 2: Convert to fraction form
    89,751.20/123,856.08 = 49,465/x
  3. Step 3: Cross multiply
    89,751.20x = 123,856.08 × 49,465
  4. Step 4: Simplify right side
    89,751.20x = 6,126,540,997.20
  5. Step 5: Solve for x
    x = 6,126,540,997.20/89,751.20
  6. Step 6: Final answer
    x = 68,261.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.