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Finding the Fourth Proportional to 52,186.98, 72,017.13 and 31,761.65

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Solution

The fourth proportional to 52,186.98, 72,017.13 and 31,761.65 is: 43,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,186.98 : 72,017.13 = 31,761.65 : x
  2. Step 2: Convert to fraction form
    52,186.98/72,017.13 = 31,761.65/x
  3. Step 3: Cross multiply
    52,186.98x = 72,017.13 × 31,761.65
  4. Step 4: Simplify right side
    52,186.98x = 2,287,383,176.21
  5. Step 5: Solve for x
    x = 2,287,383,176.21/52,186.98
  6. Step 6: Final answer
    x = 43,830.53

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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.