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Finding the Fourth Proportional to 32,820.50, 48,974.64 and 29,286.20

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Solution

The fourth proportional to 32,820.50, 48,974.64 and 29,286.20 is: 43,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.50 : 48,974.64 = 29,286.20 : x
  2. Step 2: Convert to fraction form
    32,820.50/48,974.64 = 29,286.20/x
  3. Step 3: Cross multiply
    32,820.50x = 48,974.64 × 29,286.20
  4. Step 4: Simplify right side
    32,820.50x = 1,434,281,101.97
  5. Step 5: Solve for x
    x = 1,434,281,101.97/32,820.50
  6. Step 6: Final answer
    x = 43,700.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.