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Finding the Fourth Proportional to 32,522.34, 48,786.77 and 8,830.28

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Solution

The fourth proportional to 32,522.34, 48,786.77 and 8,830.28 is: 13,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.34 : 48,786.77 = 8,830.28 : x
  2. Step 2: Convert to fraction form
    32,522.34/48,786.77 = 8,830.28/x
  3. Step 3: Cross multiply
    32,522.34x = 48,786.77 × 8,830.28
  4. Step 4: Simplify right side
    32,522.34x = 430,800,551.31
  5. Step 5: Solve for x
    x = 430,800,551.31/32,522.34
  6. Step 6: Final answer
    x = 13,246.30

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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.