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Finding the Fourth Proportional to 88,504.32, 132,752.16 and 33,096

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Solution

The fourth proportional to 88,504.32, 132,752.16 and 33,096 is: 49,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,504.32 : 132,752.16 = 33,096 : x
  2. Step 2: Convert to fraction form
    88,504.32/132,752.16 = 33,096/x
  3. Step 3: Cross multiply
    88,504.32x = 132,752.16 × 33,096
  4. Step 4: Simplify right side
    88,504.32x = 4,393,565,487.36
  5. Step 5: Solve for x
    x = 4,393,565,487.36/88,504.32
  6. Step 6: Final answer
    x = 49,642.38

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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.