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Finding the Fourth Proportional to 90,654.98, 135,978.36 and 31,495.28

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Solution

The fourth proportional to 90,654.98, 135,978.36 and 31,495.28 is: 47,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,654.98 : 135,978.36 = 31,495.28 : x
  2. Step 2: Convert to fraction form
    90,654.98/135,978.36 = 31,495.28/x
  3. Step 3: Cross multiply
    90,654.98x = 135,978.36 × 31,495.28
  4. Step 4: Simplify right side
    90,654.98x = 4,282,676,522.14
  5. Step 5: Solve for x
    x = 4,282,676,522.14/90,654.98
  6. Step 6: Final answer
    x = 47,241.49

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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.