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Finding the Fourth Proportional to 35,713.17, 49,261.77 and 22,982.94

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Solution

The fourth proportional to 35,713.17, 49,261.77 and 22,982.94 is: 31,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.17 : 49,261.77 = 22,982.94 : x
  2. Step 2: Convert to fraction form
    35,713.17/49,261.77 = 22,982.94/x
  3. Step 3: Cross multiply
    35,713.17x = 49,261.77 × 22,982.94
  4. Step 4: Simplify right side
    35,713.17x = 1,132,180,304.20
  5. Step 5: Solve for x
    x = 1,132,180,304.20/35,713.17
  6. Step 6: Final answer
    x = 31,702.04

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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.