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Finding the Fourth Proportional to 31,215.32, 46,801.11 and 11,491.32

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Solution

The fourth proportional to 31,215.32, 46,801.11 and 11,491.32 is: 17,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215.32 : 46,801.11 = 11,491.32 : x
  2. Step 2: Convert to fraction form
    31,215.32/46,801.11 = 11,491.32/x
  3. Step 3: Cross multiply
    31,215.32x = 46,801.11 × 11,491.32
  4. Step 4: Simplify right side
    31,215.32x = 537,806,531.37
  5. Step 5: Solve for x
    x = 537,806,531.37/31,215.32
  6. Step 6: Final answer
    x = 17,228.93

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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.