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Finding the Fourth Proportional to 32,563.80, 48,845.70 and 9,187.20

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Solution

The fourth proportional to 32,563.80, 48,845.70 and 9,187.20 is: 13,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.80 : 48,845.70 = 9,187.20 : x
  2. Step 2: Convert to fraction form
    32,563.80/48,845.70 = 9,187.20/x
  3. Step 3: Cross multiply
    32,563.80x = 48,845.70 × 9,187.20
  4. Step 4: Simplify right side
    32,563.80x = 448,755,215.04
  5. Step 5: Solve for x
    x = 448,755,215.04/32,563.80
  6. Step 6: Final answer
    x = 13,780.80

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1.5x scale

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.