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Finding the Fourth Proportional to 90,427.50, 135,641.25 and 35,023.50

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Solution

The fourth proportional to 90,427.50, 135,641.25 and 35,023.50 is: 52,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,427.50 : 135,641.25 = 35,023.50 : x
  2. Step 2: Convert to fraction form
    90,427.50/135,641.25 = 35,023.50/x
  3. Step 3: Cross multiply
    90,427.50x = 135,641.25 × 35,023.50
  4. Step 4: Simplify right side
    90,427.50x = 4,750,631,319.38
  5. Step 5: Solve for x
    x = 4,750,631,319.38/90,427.50
  6. Step 6: Final answer
    x = 52,535.25

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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.