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Finding the Fourth Proportional to 90,071.26, 135,102 and 45,696.86

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Solution

The fourth proportional to 90,071.26, 135,102 and 45,696.86 is: 68,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,071.26 : 135,102 = 45,696.86 : x
  2. Step 2: Convert to fraction form
    90,071.26/135,102 = 45,696.86/x
  3. Step 3: Cross multiply
    90,071.26x = 135,102 × 45,696.86
  4. Step 4: Simplify right side
    90,071.26x = 6,173,737,179.72
  5. Step 5: Solve for x
    x = 6,173,737,179.72/90,071.26
  6. Step 6: Final answer
    x = 68,542.81

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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.