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Finding the Fourth Proportional to 31,228.27, 46,849.91 and 9,043.18

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Solution

The fourth proportional to 31,228.27, 46,849.91 and 9,043.18 is: 13,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.27 : 46,849.91 = 9,043.18 : x
  2. Step 2: Convert to fraction form
    31,228.27/46,849.91 = 9,043.18/x
  3. Step 3: Cross multiply
    31,228.27x = 46,849.91 × 9,043.18
  4. Step 4: Simplify right side
    31,228.27x = 423,672,006.77
  5. Step 5: Solve for x
    x = 423,672,006.77/31,228.27
  6. Step 6: Final answer
    x = 13,566.94

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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.