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Finding the Fourth Proportional to 85,910.15, 128,834.32 and 29,735

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Solution

The fourth proportional to 85,910.15, 128,834.32 and 29,735 is: 44,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,910.15 : 128,834.32 = 29,735 : x
  2. Step 2: Convert to fraction form
    85,910.15/128,834.32 = 29,735/x
  3. Step 3: Cross multiply
    85,910.15x = 128,834.32 × 29,735
  4. Step 4: Simplify right side
    85,910.15x = 3,830,888,505.20
  5. Step 5: Solve for x
    x = 3,830,888,505.20/85,910.15
  6. Step 6: Final answer
    x = 44,591.80

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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.