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Finding the Fourth Proportional to 31,200.69, 46,791.80 and 9,014.27

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Solution

The fourth proportional to 31,200.69, 46,791.80 and 9,014.27 is: 13,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.69 : 46,791.80 = 9,014.27 : x
  2. Step 2: Convert to fraction form
    31,200.69/46,791.80 = 9,014.27/x
  3. Step 3: Cross multiply
    31,200.69x = 46,791.80 × 9,014.27
  4. Step 4: Simplify right side
    31,200.69x = 421,793,873.91
  5. Step 5: Solve for x
    x = 421,793,873.91/31,200.69
  6. Step 6: Final answer
    x = 13,518.74

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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.