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Finding the Fourth Proportional to 85,564.46, 128,292 and 41,102.75

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Solution

The fourth proportional to 85,564.46, 128,292 and 41,102.75 is: 61,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,564.46 : 128,292 = 41,102.75 : x
  2. Step 2: Convert to fraction form
    85,564.46/128,292 = 41,102.75/x
  3. Step 3: Cross multiply
    85,564.46x = 128,292 × 41,102.75
  4. Step 4: Simplify right side
    85,564.46x = 5,273,153,361.54
  5. Step 5: Solve for x
    x = 5,273,153,361.54/85,564.46
  6. Step 6: Final answer
    x = 61,627.85

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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.