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Finding the Fourth Proportional to 55,769.70, 83,648.42 and 16,327.20

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Solution

The fourth proportional to 55,769.70, 83,648.42 and 16,327.20 is: 24,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,769.70 : 83,648.42 = 16,327.20 : x
  2. Step 2: Convert to fraction form
    55,769.70/83,648.42 = 16,327.20/x
  3. Step 3: Cross multiply
    55,769.70x = 83,648.42 × 16,327.20
  4. Step 4: Simplify right side
    55,769.70x = 1,365,744,105.60
  5. Step 5: Solve for x
    x = 1,365,744,105.60/55,769.70
  6. Step 6: Final answer
    x = 24,489.00

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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.