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Finding the Fourth Proportional to 55,861.60, 83,727.60 and 22,565.20

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Solution

The fourth proportional to 55,861.60, 83,727.60 and 22,565.20 is: 33,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,861.60 : 83,727.60 = 22,565.20 : x
  2. Step 2: Convert to fraction form
    55,861.60/83,727.60 = 22,565.20/x
  3. Step 3: Cross multiply
    55,861.60x = 83,727.60 × 22,565.20
  4. Step 4: Simplify right side
    55,861.60x = 1,889,330,039.52
  5. Step 5: Solve for x
    x = 1,889,330,039.52/55,861.60
  6. Step 6: Final answer
    x = 33,821.62

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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.