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Finding the Fourth Proportional to 31,364.86, 43,283.32 and 17,024.97

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Solution

The fourth proportional to 31,364.86, 43,283.32 and 17,024.97 is: 23,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.86 : 43,283.32 = 17,024.97 : x
  2. Step 2: Convert to fraction form
    31,364.86/43,283.32 = 17,024.97/x
  3. Step 3: Cross multiply
    31,364.86x = 43,283.32 × 17,024.97
  4. Step 4: Simplify right side
    31,364.86x = 736,897,224.50
  5. Step 5: Solve for x
    x = 736,897,224.50/31,364.86
  6. Step 6: Final answer
    x = 23,494.36

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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.