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Finding the Fourth Proportional to 31,187.70, 43,038.50 and 17,040.24

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Solution

The fourth proportional to 31,187.70, 43,038.50 and 17,040.24 is: 23,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187.70 : 43,038.50 = 17,040.24 : x
  2. Step 2: Convert to fraction form
    31,187.70/43,038.50 = 17,040.24/x
  3. Step 3: Cross multiply
    31,187.70x = 43,038.50 × 17,040.24
  4. Step 4: Simplify right side
    31,187.70x = 733,386,369.24
  5. Step 5: Solve for x
    x = 733,386,369.24/31,187.70
  6. Step 6: Final answer
    x = 23,515.24

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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.