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Finding the Fourth Proportional to 97,800.28, 146,770.74 and 41,680

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Solution

The fourth proportional to 97,800.28, 146,770.74 and 41,680 is: 62,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,800.28 : 146,770.74 = 41,680 : x
  2. Step 2: Convert to fraction form
    97,800.28/146,770.74 = 41,680/x
  3. Step 3: Cross multiply
    97,800.28x = 146,770.74 × 41,680
  4. Step 4: Simplify right side
    97,800.28x = 6,117,404,443.20
  5. Step 5: Solve for x
    x = 6,117,404,443.20/97,800.28
  6. Step 6: Final answer
    x = 62,549.97

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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.