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Finding the Fourth Proportional to 31,262.67, 46,898.64 and 9,076.23

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Solution

The fourth proportional to 31,262.67, 46,898.64 and 9,076.23 is: 13,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.67 : 46,898.64 = 9,076.23 : x
  2. Step 2: Convert to fraction form
    31,262.67/46,898.64 = 9,076.23/x
  3. Step 3: Cross multiply
    31,262.67x = 46,898.64 × 9,076.23
  4. Step 4: Simplify right side
    31,262.67x = 425,662,843.33
  5. Step 5: Solve for x
    x = 425,662,843.33/31,262.67
  6. Step 6: Final answer
    x = 13,615.69

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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.