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Finding the Fourth Proportional to 31,235.94, 46,813.68 and 11,491.11

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Solution

The fourth proportional to 31,235.94, 46,813.68 and 11,491.11 is: 17,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.94 : 46,813.68 = 11,491.11 : x
  2. Step 2: Convert to fraction form
    31,235.94/46,813.68 = 11,491.11/x
  3. Step 3: Cross multiply
    31,235.94x = 46,813.68 × 11,491.11
  4. Step 4: Simplify right side
    31,235.94x = 537,941,146.38
  5. Step 5: Solve for x
    x = 537,941,146.38/31,235.94
  6. Step 6: Final answer
    x = 17,221.87

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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.