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Finding the Fourth Proportional to 31,314.61, 43,212.53 and 17,883.24

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Solution

The fourth proportional to 31,314.61, 43,212.53 and 17,883.24 is: 24,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.61 : 43,212.53 = 17,883.24 : x
  2. Step 2: Convert to fraction form
    31,314.61/43,212.53 = 17,883.24/x
  3. Step 3: Cross multiply
    31,314.61x = 43,212.53 × 17,883.24
  4. Step 4: Simplify right side
    31,314.61x = 772,780,045.00
  5. Step 5: Solve for x
    x = 772,780,045.00/31,314.61
  6. Step 6: Final answer
    x = 24,677.94

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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.