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Finding the Fourth Proportional to 31,659, 43,702.86 and 19,728.24

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Solution

The fourth proportional to 31,659, 43,702.86 and 19,728.24 is: 27,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,659 : 43,702.86 = 19,728.24 : x
  2. Step 2: Convert to fraction form
    31,659/43,702.86 = 19,728.24/x
  3. Step 3: Cross multiply
    31,659x = 43,702.86 × 19,728.24
  4. Step 4: Simplify right side
    31,659x = 862,180,510.77
  5. Step 5: Solve for x
    x = 862,180,510.77/31,659
  6. Step 6: Final answer
    x = 27,233.35

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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.