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Finding the Fourth Proportional to 32,524.30, 48,728.13 and 30,774.70

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Solution

The fourth proportional to 32,524.30, 48,728.13 and 30,774.70 is: 46,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,524.30 : 48,728.13 = 30,774.70 : x
  2. Step 2: Convert to fraction form
    32,524.30/48,728.13 = 30,774.70/x
  3. Step 3: Cross multiply
    32,524.30x = 48,728.13 × 30,774.70
  4. Step 4: Simplify right side
    32,524.30x = 1,499,593,582.31
  5. Step 5: Solve for x
    x = 1,499,593,582.31/32,524.30
  6. Step 6: Final answer
    x = 46,106.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.