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Finding the Fourth Proportional to 32,517.79, 48,776.70 and 9,144.22

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Solution

The fourth proportional to 32,517.79, 48,776.70 and 9,144.22 is: 13,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.79 : 48,776.70 = 9,144.22 : x
  2. Step 2: Convert to fraction form
    32,517.79/48,776.70 = 9,144.22/x
  3. Step 3: Cross multiply
    32,517.79x = 48,776.70 × 9,144.22
  4. Step 4: Simplify right side
    32,517.79x = 446,024,875.67
  5. Step 5: Solve for x
    x = 446,024,875.67/32,517.79
  6. Step 6: Final answer
    x = 13,716.33

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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.