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Finding the Fourth Proportional to 31,860.80, 47,791.20 and 16,308.80

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Solution

The fourth proportional to 31,860.80, 47,791.20 and 16,308.80 is: 24,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,860.80 : 47,791.20 = 16,308.80 : x
  2. Step 2: Convert to fraction form
    31,860.80/47,791.20 = 16,308.80/x
  3. Step 3: Cross multiply
    31,860.80x = 47,791.20 × 16,308.80
  4. Step 4: Simplify right side
    31,860.80x = 779,417,122.56
  5. Step 5: Solve for x
    x = 779,417,122.56/31,860.80
  6. Step 6: Final answer
    x = 24,463.20

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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.