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Finding the Fourth Proportional to 32,476.68, 48,712.26 and 10,286.82

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Solution

The fourth proportional to 32,476.68, 48,712.26 and 10,286.82 is: 15,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.68 : 48,712.26 = 10,286.82 : x
  2. Step 2: Convert to fraction form
    32,476.68/48,712.26 = 10,286.82/x
  3. Step 3: Cross multiply
    32,476.68x = 48,712.26 × 10,286.82
  4. Step 4: Simplify right side
    32,476.68x = 501,094,250.41
  5. Step 5: Solve for x
    x = 501,094,250.41/32,476.68
  6. Step 6: Final answer
    x = 15,429.36

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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.