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Finding the Fourth Proportional to 90,295.56, 135,526.50 and 45,954

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Solution

The fourth proportional to 90,295.56, 135,526.50 and 45,954 is: 68,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,295.56 : 135,526.50 = 45,954 : x
  2. Step 2: Convert to fraction form
    90,295.56/135,526.50 = 45,954/x
  3. Step 3: Cross multiply
    90,295.56x = 135,526.50 × 45,954
  4. Step 4: Simplify right side
    90,295.56x = 6,227,984,781
  5. Step 5: Solve for x
    x = 6,227,984,781/90,295.56
  6. Step 6: Final answer
    x = 68,973.32

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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.