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Finding the Fourth Proportional to 81,409.28, 112,331.72 and 45,600.80

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Solution

The fourth proportional to 81,409.28, 112,331.72 and 45,600.80 is: 62,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.28 : 112,331.72 = 45,600.80 : x
  2. Step 2: Convert to fraction form
    81,409.28/112,331.72 = 45,600.80/x
  3. Step 3: Cross multiply
    81,409.28x = 112,331.72 × 45,600.80
  4. Step 4: Simplify right side
    81,409.28x = 5,122,416,297.38
  5. Step 5: Solve for x
    x = 5,122,416,297.38/81,409.28
  6. Step 6: Final answer
    x = 62,921.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.