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Finding the Fourth Proportional to 103,524.14, 155,286 and 32,452.28

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Solution

The fourth proportional to 103,524.14, 155,286 and 32,452.28 is: 48,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524.14 : 155,286 = 32,452.28 : x
  2. Step 2: Convert to fraction form
    103,524.14/155,286 = 32,452.28/x
  3. Step 3: Cross multiply
    103,524.14x = 155,286 × 32,452.28
  4. Step 4: Simplify right side
    103,524.14x = 5,039,384,752.08
  5. Step 5: Solve for x
    x = 5,039,384,752.08/103,524.14
  6. Step 6: Final answer
    x = 48,678.35

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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.