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Finding the Fourth Proportional to 32,309.76, 48,478.80 and 15,682.56

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Solution

The fourth proportional to 32,309.76, 48,478.80 and 15,682.56 is: 23,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.76 : 48,478.80 = 15,682.56 : x
  2. Step 2: Convert to fraction form
    32,309.76/48,478.80 = 15,682.56/x
  3. Step 3: Cross multiply
    32,309.76x = 48,478.80 × 15,682.56
  4. Step 4: Simplify right side
    32,309.76x = 760,271,689.73
  5. Step 5: Solve for x
    x = 760,271,689.73/32,309.76
  6. Step 6: Final answer
    x = 23,530.71

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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.