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Finding the Fourth Proportional to 90,503.49, 135,773.46 and 31,337.85

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Solution

The fourth proportional to 90,503.49, 135,773.46 and 31,337.85 is: 47,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,503.49 : 135,773.46 = 31,337.85 : x
  2. Step 2: Convert to fraction form
    90,503.49/135,773.46 = 31,337.85/x
  3. Step 3: Cross multiply
    90,503.49x = 135,773.46 × 31,337.85
  4. Step 4: Simplify right side
    90,503.49x = 4,254,848,323.46
  5. Step 5: Solve for x
    x = 4,254,848,323.46/90,503.49
  6. Step 6: Final answer
    x = 47,013.09

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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.