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Finding the Fourth Proportional to 31,657.16, 43,657.98 and 27,179.48

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Solution

The fourth proportional to 31,657.16, 43,657.98 and 27,179.48 is: 37,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.16 : 43,657.98 = 27,179.48 : x
  2. Step 2: Convert to fraction form
    31,657.16/43,657.98 = 27,179.48/x
  3. Step 3: Cross multiply
    31,657.16x = 43,657.98 × 27,179.48
  4. Step 4: Simplify right side
    31,657.16x = 1,186,601,194.25
  5. Step 5: Solve for x
    x = 1,186,601,194.25/31,657.16
  6. Step 6: Final answer
    x = 37,482.87

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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.