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Finding the Fourth Proportional to 32,509.68, 48,766.86 and 15,883.56

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Solution

The fourth proportional to 32,509.68, 48,766.86 and 15,883.56 is: 23,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.68 : 48,766.86 = 15,883.56 : x
  2. Step 2: Convert to fraction form
    32,509.68/48,766.86 = 15,883.56/x
  3. Step 3: Cross multiply
    32,509.68x = 48,766.86 × 15,883.56
  4. Step 4: Simplify right side
    32,509.68x = 774,591,346.82
  5. Step 5: Solve for x
    x = 774,591,346.82/32,509.68
  6. Step 6: Final answer
    x = 23,826.48

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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.