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Finding the Fourth Proportional to 90,881, 136,311.76 and 31,717.80

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Solution

The fourth proportional to 90,881, 136,311.76 and 31,717.80 is: 47,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,881 : 136,311.76 = 31,717.80 : x
  2. Step 2: Convert to fraction form
    90,881/136,311.76 = 31,717.80/x
  3. Step 3: Cross multiply
    90,881x = 136,311.76 × 31,717.80
  4. Step 4: Simplify right side
    90,881x = 4,323,509,141.33
  5. Step 5: Solve for x
    x = 4,323,509,141.33/90,881
  6. Step 6: Final answer
    x = 47,573.30

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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.