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Finding the Fourth Proportional to 90,234.18, 135,266.15 and 31,028.45

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Solution

The fourth proportional to 90,234.18, 135,266.15 and 31,028.45 is: 46,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,234.18 : 135,266.15 = 31,028.45 : x
  2. Step 2: Convert to fraction form
    90,234.18/135,266.15 = 31,028.45/x
  3. Step 3: Cross multiply
    90,234.18x = 135,266.15 × 31,028.45
  4. Step 4: Simplify right side
    90,234.18x = 4,197,098,373.21
  5. Step 5: Solve for x
    x = 4,197,098,373.21/90,234.18
  6. Step 6: Final answer
    x = 46,513.40

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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.