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Finding the Fourth Proportional to 89,842.50, 134,770.23 and 34,438.50

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Solution

The fourth proportional to 89,842.50, 134,770.23 and 34,438.50 is: 51,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,842.50 : 134,770.23 = 34,438.50 : x
  2. Step 2: Convert to fraction form
    89,842.50/134,770.23 = 34,438.50/x
  3. Step 3: Cross multiply
    89,842.50x = 134,770.23 × 34,438.50
  4. Step 4: Simplify right side
    89,842.50x = 4,641,284,565.86
  5. Step 5: Solve for x
    x = 4,641,284,565.86/89,842.50
  6. Step 6: Final answer
    x = 51,660.23

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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.