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Finding the Fourth Proportional to 65,142.92, 89,927.87 and 49,016.22

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Solution

The fourth proportional to 65,142.92, 89,927.87 and 49,016.22 is: 67,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.92 : 89,927.87 = 49,016.22 : x
  2. Step 2: Convert to fraction form
    65,142.92/89,927.87 = 49,016.22/x
  3. Step 3: Cross multiply
    65,142.92x = 89,927.87 × 49,016.22
  4. Step 4: Simplify right side
    65,142.92x = 4,407,924,014.97
  5. Step 5: Solve for x
    x = 4,407,924,014.97/65,142.92
  6. Step 6: Final answer
    x = 67,665.44

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1.5x scale

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.