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Finding the Fourth Proportional to 32,475.65, 48,714.82 and 10,288.53

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Solution

The fourth proportional to 32,475.65, 48,714.82 and 10,288.53 is: 15,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.65 : 48,714.82 = 10,288.53 : x
  2. Step 2: Convert to fraction form
    32,475.65/48,714.82 = 10,288.53/x
  3. Step 3: Cross multiply
    32,475.65x = 48,714.82 × 10,288.53
  4. Step 4: Simplify right side
    32,475.65x = 501,203,861.29
  5. Step 5: Solve for x
    x = 501,203,861.29/32,475.65
  6. Step 6: Final answer
    x = 15,433.22

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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.