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Finding the Fourth Proportional to 31,212, 46,822.66 and 11,489.05

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Solution

The fourth proportional to 31,212, 46,822.66 and 11,489.05 is: 17,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212 : 46,822.66 = 11,489.05 : x
  2. Step 2: Convert to fraction form
    31,212/46,822.66 = 11,489.05/x
  3. Step 3: Cross multiply
    31,212x = 46,822.66 × 11,489.05
  4. Step 4: Simplify right side
    31,212x = 537,947,881.87
  5. Step 5: Solve for x
    x = 537,947,881.87/31,212
  6. Step 6: Final answer
    x = 17,235.29

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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.