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Finding the Fourth Proportional to 90,091.56, 135,065.43 and 45,083.10

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Solution

The fourth proportional to 90,091.56, 135,065.43 and 45,083.10 is: 67,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,091.56 : 135,065.43 = 45,083.10 : x
  2. Step 2: Convert to fraction form
    90,091.56/135,065.43 = 45,083.10/x
  3. Step 3: Cross multiply
    90,091.56x = 135,065.43 × 45,083.10
  4. Step 4: Simplify right side
    90,091.56x = 6,089,168,287.23
  5. Step 5: Solve for x
    x = 6,089,168,287.23/90,091.56
  6. Step 6: Final answer
    x = 67,588.67

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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.