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Finding the Fourth Proportional to 32,563.50, 48,847.32 and 9,191.76

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Solution

The fourth proportional to 32,563.50, 48,847.32 and 9,191.76 is: 13,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.50 : 48,847.32 = 9,191.76 : x
  2. Step 2: Convert to fraction form
    32,563.50/48,847.32 = 9,191.76/x
  3. Step 3: Cross multiply
    32,563.50x = 48,847.32 × 9,191.76
  4. Step 4: Simplify right side
    32,563.50x = 448,992,842.08
  5. Step 5: Solve for x
    x = 448,992,842.08/32,563.50
  6. Step 6: Final answer
    x = 13,788.22

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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.