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Finding the Fourth Proportional to 32,505.20, 48,763.74 and 10,324.16

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Solution

The fourth proportional to 32,505.20, 48,763.74 and 10,324.16 is: 15,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.20 : 48,763.74 = 10,324.16 : x
  2. Step 2: Convert to fraction form
    32,505.20/48,763.74 = 10,324.16/x
  3. Step 3: Cross multiply
    32,505.20x = 48,763.74 × 10,324.16
  4. Step 4: Simplify right side
    32,505.20x = 503,444,653.96
  5. Step 5: Solve for x
    x = 503,444,653.96/32,505.20
  6. Step 6: Final answer
    x = 15,488.13

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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.