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Finding the Fourth Proportional to 31,730.54, 43,788.06 and 17,583.48

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Solution

The fourth proportional to 31,730.54, 43,788.06 and 17,583.48 is: 24,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730.54 : 43,788.06 = 17,583.48 : x
  2. Step 2: Convert to fraction form
    31,730.54/43,788.06 = 17,583.48/x
  3. Step 3: Cross multiply
    31,730.54x = 43,788.06 × 17,583.48
  4. Step 4: Simplify right side
    31,730.54x = 769,946,477.25
  5. Step 5: Solve for x
    x = 769,946,477.25/31,730.54
  6. Step 6: Final answer
    x = 24,265.16

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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.