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Finding the Fourth Proportional to 72,702.16, 100,321.33 and 40,431.55

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Solution

The fourth proportional to 72,702.16, 100,321.33 and 40,431.55 is: 55,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702.16 : 100,321.33 = 40,431.55 : x
  2. Step 2: Convert to fraction form
    72,702.16/100,321.33 = 40,431.55/x
  3. Step 3: Cross multiply
    72,702.16x = 100,321.33 × 40,431.55
  4. Step 4: Simplify right side
    72,702.16x = 4,056,146,869.96
  5. Step 5: Solve for x
    x = 4,056,146,869.96/72,702.16
  6. Step 6: Final answer
    x = 55,791.28

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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.