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Finding the Fourth Proportional to 32,222.56, 48,341.52 and 13,756

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Solution

The fourth proportional to 32,222.56, 48,341.52 and 13,756 is: 20,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.56 : 48,341.52 = 13,756 : x
  2. Step 2: Convert to fraction form
    32,222.56/48,341.52 = 13,756/x
  3. Step 3: Cross multiply
    32,222.56x = 48,341.52 × 13,756
  4. Step 4: Simplify right side
    32,222.56x = 664,985,949.12
  5. Step 5: Solve for x
    x = 664,985,949.12/32,222.56
  6. Step 6: Final answer
    x = 20,637.28

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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.