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Finding the Fourth Proportional to 31,388.49, 43,323.59 and 17,967.50

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Solution

The fourth proportional to 31,388.49, 43,323.59 and 17,967.50 is: 24,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.49 : 43,323.59 = 17,967.50 : x
  2. Step 2: Convert to fraction form
    31,388.49/43,323.59 = 17,967.50/x
  3. Step 3: Cross multiply
    31,388.49x = 43,323.59 × 17,967.50
  4. Step 4: Simplify right side
    31,388.49x = 778,416,603.33
  5. Step 5: Solve for x
    x = 778,416,603.33/31,388.49
  6. Step 6: Final answer
    x = 24,799.43

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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.