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Finding the Fourth Proportional to 32,856.54, 45,342.03 and 17,749.20

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Solution

The fourth proportional to 32,856.54, 45,342.03 and 17,749.20 is: 24,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.54 : 45,342.03 = 17,749.20 : x
  2. Step 2: Convert to fraction form
    32,856.54/45,342.03 = 17,749.20/x
  3. Step 3: Cross multiply
    32,856.54x = 45,342.03 × 17,749.20
  4. Step 4: Simplify right side
    32,856.54x = 804,784,758.88
  5. Step 5: Solve for x
    x = 804,784,758.88/32,856.54
  6. Step 6: Final answer
    x = 24,493.90

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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.