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Finding the Fourth Proportional to 65,706.92, 98,524.87 and 20,719.79

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Solution

The fourth proportional to 65,706.92, 98,524.87 and 20,719.79 is: 31,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706.92 : 98,524.87 = 20,719.79 : x
  2. Step 2: Convert to fraction form
    65,706.92/98,524.87 = 20,719.79/x
  3. Step 3: Cross multiply
    65,706.92x = 98,524.87 × 20,719.79
  4. Step 4: Simplify right side
    65,706.92x = 2,041,414,616.18
  5. Step 5: Solve for x
    x = 2,041,414,616.18/65,706.92
  6. Step 6: Final answer
    x = 31,068.49

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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.