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Finding the Fourth Proportional to 32,523.60, 48,794.58 and 9,150.24

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Solution

The fourth proportional to 32,523.60, 48,794.58 and 9,150.24 is: 13,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.60 : 48,794.58 = 9,150.24 : x
  2. Step 2: Convert to fraction form
    32,523.60/48,794.58 = 9,150.24/x
  3. Step 3: Cross multiply
    32,523.60x = 48,794.58 × 9,150.24
  4. Step 4: Simplify right side
    32,523.60x = 446,482,117.70
  5. Step 5: Solve for x
    x = 446,482,117.70/32,523.60
  6. Step 6: Final answer
    x = 13,727.94

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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.