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Finding the Fourth Proportional to 76,394.50, 114,637.83 and 32,618.50

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Solution

The fourth proportional to 76,394.50, 114,637.83 and 32,618.50 is: 48,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,394.50 : 114,637.83 = 32,618.50 : x
  2. Step 2: Convert to fraction form
    76,394.50/114,637.83 = 32,618.50/x
  3. Step 3: Cross multiply
    76,394.50x = 114,637.83 × 32,618.50
  4. Step 4: Simplify right side
    76,394.50x = 3,739,314,057.86
  5. Step 5: Solve for x
    x = 3,739,314,057.86/76,394.50
  6. Step 6: Final answer
    x = 48,947.42

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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.