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Finding the Fourth Proportional to 73,697.60, 110,546.92 and 31,542.16

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Solution

The fourth proportional to 73,697.60, 110,546.92 and 31,542.16 is: 47,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,697.60 : 110,546.92 = 31,542.16 : x
  2. Step 2: Convert to fraction form
    73,697.60/110,546.92 = 31,542.16/x
  3. Step 3: Cross multiply
    73,697.60x = 110,546.92 × 31,542.16
  4. Step 4: Simplify right side
    73,697.60x = 3,486,888,638.15
  5. Step 5: Solve for x
    x = 3,486,888,638.15/73,697.60
  6. Step 6: Final answer
    x = 47,313.46

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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.