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Finding the Fourth Proportional to 69,739.30, 96,239.10 and 37,909

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Solution

The fourth proportional to 69,739.30, 96,239.10 and 37,909 is: 52,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,739.30 : 96,239.10 = 37,909 : x
  2. Step 2: Convert to fraction form
    69,739.30/96,239.10 = 37,909/x
  3. Step 3: Cross multiply
    69,739.30x = 96,239.10 × 37,909
  4. Step 4: Simplify right side
    69,739.30x = 3,648,328,041.90
  5. Step 5: Solve for x
    x = 3,648,328,041.90/69,739.30
  6. Step 6: Final answer
    x = 52,313.80

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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.