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Finding the Fourth Proportional to 31,411.77, 43,347.75 and 17,264.31

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Solution

The fourth proportional to 31,411.77, 43,347.75 and 17,264.31 is: 23,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.77 : 43,347.75 = 17,264.31 : x
  2. Step 2: Convert to fraction form
    31,411.77/43,347.75 = 17,264.31/x
  3. Step 3: Cross multiply
    31,411.77x = 43,347.75 × 17,264.31
  4. Step 4: Simplify right side
    31,411.77x = 748,368,993.80
  5. Step 5: Solve for x
    x = 748,368,993.80/31,411.77
  6. Step 6: Final answer
    x = 23,824.48

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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.