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Finding the Fourth Proportional to 88,406, 132,615.48 and 33,002

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Solution

The fourth proportional to 88,406, 132,615.48 and 33,002 is: 49,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,406 : 132,615.48 = 33,002 : x
  2. Step 2: Convert to fraction form
    88,406/132,615.48 = 33,002/x
  3. Step 3: Cross multiply
    88,406x = 132,615.48 × 33,002
  4. Step 4: Simplify right side
    88,406x = 4,376,576,070.96
  5. Step 5: Solve for x
    x = 4,376,576,070.96/88,406
  6. Step 6: Final answer
    x = 49,505.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.