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Finding the Fourth Proportional to 32,522.62, 48,778.26 and 9,143.50

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Solution

The fourth proportional to 32,522.62, 48,778.26 and 9,143.50 is: 13,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.62 : 48,778.26 = 9,143.50 : x
  2. Step 2: Convert to fraction form
    32,522.62/48,778.26 = 9,143.50/x
  3. Step 3: Cross multiply
    32,522.62x = 48,778.26 × 9,143.50
  4. Step 4: Simplify right side
    32,522.62x = 446,004,020.31
  5. Step 5: Solve for x
    x = 446,004,020.31/32,522.62
  6. Step 6: Final answer
    x = 13,713.66

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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.