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Finding the Fourth Proportional to 31,220, 43,083.60 and 17,072.96

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Solution

The fourth proportional to 31,220, 43,083.60 and 17,072.96 is: 23,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220 : 43,083.60 = 17,072.96 : x
  2. Step 2: Convert to fraction form
    31,220/43,083.60 = 17,072.96/x
  3. Step 3: Cross multiply
    31,220x = 43,083.60 × 17,072.96
  4. Step 4: Simplify right side
    31,220x = 735,564,579.46
  5. Step 5: Solve for x
    x = 735,564,579.46/31,220
  6. Step 6: Final answer
    x = 23,560.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.