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Finding the Fourth Proportional to 31,817.22, 43,908.03 and 17,670.30

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Solution

The fourth proportional to 31,817.22, 43,908.03 and 17,670.30 is: 24,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.22 : 43,908.03 = 17,670.30 : x
  2. Step 2: Convert to fraction form
    31,817.22/43,908.03 = 17,670.30/x
  3. Step 3: Cross multiply
    31,817.22x = 43,908.03 × 17,670.30
  4. Step 4: Simplify right side
    31,817.22x = 775,868,062.51
  5. Step 5: Solve for x
    x = 775,868,062.51/31,817.22
  6. Step 6: Final answer
    x = 24,385.16

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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.