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Finding the Fourth Proportional to 90,252.42, 135,378.90 and 31,087.32

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Solution

The fourth proportional to 90,252.42, 135,378.90 and 31,087.32 is: 46,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,252.42 : 135,378.90 = 31,087.32 : x
  2. Step 2: Convert to fraction form
    90,252.42/135,378.90 = 31,087.32/x
  3. Step 3: Cross multiply
    90,252.42x = 135,378.90 × 31,087.32
  4. Step 4: Simplify right side
    90,252.42x = 4,208,567,185.55
  5. Step 5: Solve for x
    x = 4,208,567,185.55/90,252.42
  6. Step 6: Final answer
    x = 46,631.07

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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.