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Finding the Fourth Proportional to 90,463.40, 135,707.49 and 31,283.18

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Solution

The fourth proportional to 90,463.40, 135,707.49 and 31,283.18 is: 46,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,463.40 : 135,707.49 = 31,283.18 : x
  2. Step 2: Convert to fraction form
    90,463.40/135,707.49 = 31,283.18/x
  3. Step 3: Cross multiply
    90,463.40x = 135,707.49 × 31,283.18
  4. Step 4: Simplify right side
    90,463.40x = 4,245,361,837.02
  5. Step 5: Solve for x
    x = 4,245,361,837.02/90,463.40
  6. Step 6: Final answer
    x = 46,929.05

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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.