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Finding the Fourth Proportional to 31,312.26, 43,211.97 and 17,164.98

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Solution

The fourth proportional to 31,312.26, 43,211.97 and 17,164.98 is: 23,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,312.26 : 43,211.97 = 17,164.98 : x
  2. Step 2: Convert to fraction form
    31,312.26/43,211.97 = 17,164.98/x
  3. Step 3: Cross multiply
    31,312.26x = 43,211.97 × 17,164.98
  4. Step 4: Simplify right side
    31,312.26x = 741,732,600.81
  5. Step 5: Solve for x
    x = 741,732,600.81/31,312.26
  6. Step 6: Final answer
    x = 23,688.25

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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.