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Finding the Fourth Proportional to 85,414.69, 128,125.41 and 32,101.30

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Solution

The fourth proportional to 85,414.69, 128,125.41 and 32,101.30 is: 48,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.69 : 128,125.41 = 32,101.30 : x
  2. Step 2: Convert to fraction form
    85,414.69/128,125.41 = 32,101.30/x
  3. Step 3: Cross multiply
    85,414.69x = 128,125.41 × 32,101.30
  4. Step 4: Simplify right side
    85,414.69x = 4,112,992,224.03
  5. Step 5: Solve for x
    x = 4,112,992,224.03/85,414.69
  6. Step 6: Final answer
    x = 48,153.22

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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.