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Finding the Fourth Proportional to 75,704.40, 113,556.60 and 47,710.80

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Solution

The fourth proportional to 75,704.40, 113,556.60 and 47,710.80 is: 71,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,704.40 : 113,556.60 = 47,710.80 : x
  2. Step 2: Convert to fraction form
    75,704.40/113,556.60 = 47,710.80/x
  3. Step 3: Cross multiply
    75,704.40x = 113,556.60 × 47,710.80
  4. Step 4: Simplify right side
    75,704.40x = 5,417,876,231.28
  5. Step 5: Solve for x
    x = 5,417,876,231.28/75,704.40
  6. Step 6: Final answer
    x = 71,566.20

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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.