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Finding the Fourth Proportional to 65,212.70, 97,819.05 and 15,964.70

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Solution

The fourth proportional to 65,212.70, 97,819.05 and 15,964.70 is: 23,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.70 : 97,819.05 = 15,964.70 : x
  2. Step 2: Convert to fraction form
    65,212.70/97,819.05 = 15,964.70/x
  3. Step 3: Cross multiply
    65,212.70x = 97,819.05 × 15,964.70
  4. Step 4: Simplify right side
    65,212.70x = 1,561,651,787.54
  5. Step 5: Solve for x
    x = 1,561,651,787.54/65,212.70
  6. Step 6: Final answer
    x = 23,947.05

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Similar ratio
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1.5x scale

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.