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Finding the Fourth Proportional to 49,412.46, 68,194.56 and 32,430.40

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Solution

The fourth proportional to 49,412.46, 68,194.56 and 32,430.40 is: 44,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,412.46 : 68,194.56 = 32,430.40 : x
  2. Step 2: Convert to fraction form
    49,412.46/68,194.56 = 32,430.40/x
  3. Step 3: Cross multiply
    49,412.46x = 68,194.56 × 32,430.40
  4. Step 4: Simplify right side
    49,412.46x = 2,211,576,858.62
  5. Step 5: Solve for x
    x = 2,211,576,858.62/49,412.46
  6. Step 6: Final answer
    x = 44,757.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.