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Finding the Fourth Proportional to 32,532.72, 48,800.96 and 10,347.88

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Solution

The fourth proportional to 32,532.72, 48,800.96 and 10,347.88 is: 15,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,532.72 : 48,800.96 = 10,347.88 : x
  2. Step 2: Convert to fraction form
    32,532.72/48,800.96 = 10,347.88/x
  3. Step 3: Cross multiply
    32,532.72x = 48,800.96 × 10,347.88
  4. Step 4: Simplify right side
    32,532.72x = 504,986,477.96
  5. Step 5: Solve for x
    x = 504,986,477.96/32,532.72
  6. Step 6: Final answer
    x = 15,522.42

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Why These Related Problems?

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