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Finding the Fourth Proportional to 31,262.49, 46,898.46 and 9,076.19

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Solution

The fourth proportional to 31,262.49, 46,898.46 and 9,076.19 is: 13,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.49 : 46,898.46 = 9,076.19 : x
  2. Step 2: Convert to fraction form
    31,262.49/46,898.46 = 9,076.19/x
  3. Step 3: Cross multiply
    31,262.49x = 46,898.46 × 9,076.19
  4. Step 4: Simplify right side
    31,262.49x = 425,659,099.18
  5. Step 5: Solve for x
    x = 425,659,099.18/31,262.49
  6. Step 6: Final answer
    x = 13,615.65

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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.