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Finding the Fourth Proportional to 69,742.80, 96,243.93 and 37,912.50

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Solution

The fourth proportional to 69,742.80, 96,243.93 and 37,912.50 is: 52,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,742.80 : 96,243.93 = 37,912.50 : x
  2. Step 2: Convert to fraction form
    69,742.80/96,243.93 = 37,912.50/x
  3. Step 3: Cross multiply
    69,742.80x = 96,243.93 × 37,912.50
  4. Step 4: Simplify right side
    69,742.80x = 3,648,847,996.13
  5. Step 5: Solve for x
    x = 3,648,847,996.13/69,742.80
  6. Step 6: Final answer
    x = 52,318.63

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Why These Related Problems?

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