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Finding the Fourth Proportional to 31,702.80, 43,710.16 and 20,352.28

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Solution

The fourth proportional to 31,702.80, 43,710.16 and 20,352.28 is: 28,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.80 : 43,710.16 = 20,352.28 : x
  2. Step 2: Convert to fraction form
    31,702.80/43,710.16 = 20,352.28/x
  3. Step 3: Cross multiply
    31,702.80x = 43,710.16 × 20,352.28
  4. Step 4: Simplify right side
    31,702.80x = 889,601,415.16
  5. Step 5: Solve for x
    x = 889,601,415.16/31,702.80
  6. Step 6: Final answer
    x = 28,060.66

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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.