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Finding the Fourth Proportional to 31,768.50, 43,840.53 and 17,624.28

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Solution

The fourth proportional to 31,768.50, 43,840.53 and 17,624.28 is: 24,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.50 : 43,840.53 = 17,624.28 : x
  2. Step 2: Convert to fraction form
    31,768.50/43,840.53 = 17,624.28/x
  3. Step 3: Cross multiply
    31,768.50x = 43,840.53 × 17,624.28
  4. Step 4: Simplify right side
    31,768.50x = 772,657,776.07
  5. Step 5: Solve for x
    x = 772,657,776.07/31,768.50
  6. Step 6: Final answer
    x = 24,321.51

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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.