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Finding the Fourth Proportional to 69,814.60, 96,343.36 and 37,982.80

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Solution

The fourth proportional to 69,814.60, 96,343.36 and 37,982.80 is: 52,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,814.60 : 96,343.36 = 37,982.80 : x
  2. Step 2: Convert to fraction form
    69,814.60/96,343.36 = 37,982.80/x
  3. Step 3: Cross multiply
    69,814.60x = 96,343.36 × 37,982.80
  4. Step 4: Simplify right side
    69,814.60x = 3,659,390,574.21
  5. Step 5: Solve for x
    x = 3,659,390,574.21/69,814.60
  6. Step 6: Final answer
    x = 52,415.84

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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.