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Finding the Fourth Proportional to 76,851.90, 115,268.13 and 24,266.70

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Solution

The fourth proportional to 76,851.90, 115,268.13 and 24,266.70 is: 36,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,851.90 : 115,268.13 = 24,266.70 : x
  2. Step 2: Convert to fraction form
    76,851.90/115,268.13 = 24,266.70/x
  3. Step 3: Cross multiply
    76,851.90x = 115,268.13 × 24,266.70
  4. Step 4: Simplify right side
    76,851.90x = 2,797,177,130.27
  5. Step 5: Solve for x
    x = 2,797,177,130.27/76,851.90
  6. Step 6: Final answer
    x = 36,396.98

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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.