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Finding the Fourth Proportional to 90,068.25, 135,097.50 and 45,693.85

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Solution

The fourth proportional to 90,068.25, 135,097.50 and 45,693.85 is: 68,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,068.25 : 135,097.50 = 45,693.85 : x
  2. Step 2: Convert to fraction form
    90,068.25/135,097.50 = 45,693.85/x
  3. Step 3: Cross multiply
    90,068.25x = 135,097.50 × 45,693.85
  4. Step 4: Simplify right side
    90,068.25x = 6,173,125,177.27
  5. Step 5: Solve for x
    x = 6,173,125,177.27/90,068.25
  6. Step 6: Final answer
    x = 68,538.30

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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.