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Finding the Fourth Proportional to 65,200.68, 89,977.68 and 36,905.76

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Solution

The fourth proportional to 65,200.68, 89,977.68 and 36,905.76 is: 50,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.68 : 89,977.68 = 36,905.76 : x
  2. Step 2: Convert to fraction form
    65,200.68/89,977.68 = 36,905.76/x
  3. Step 3: Cross multiply
    65,200.68x = 89,977.68 × 36,905.76
  4. Step 4: Simplify right side
    65,200.68x = 3,320,694,663.44
  5. Step 5: Solve for x
    x = 3,320,694,663.44/65,200.68
  6. Step 6: Final answer
    x = 50,930.37

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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.