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Finding the Fourth Proportional to 31,185.39, 43,035.77 and 17,038.34

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Solution

The fourth proportional to 31,185.39, 43,035.77 and 17,038.34 is: 23,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.39 : 43,035.77 = 17,038.34 : x
  2. Step 2: Convert to fraction form
    31,185.39/43,035.77 = 17,038.34/x
  3. Step 3: Cross multiply
    31,185.39x = 43,035.77 × 17,038.34
  4. Step 4: Simplify right side
    31,185.39x = 733,258,081.42
  5. Step 5: Solve for x
    x = 733,258,081.42/31,185.39
  6. Step 6: Final answer
    x = 23,512.87

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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.