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Finding the Fourth Proportional to 31,838.01, 43,935.59 and 17,690.49

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Solution

The fourth proportional to 31,838.01, 43,935.59 and 17,690.49 is: 24,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.01 : 43,935.59 = 17,690.49 : x
  2. Step 2: Convert to fraction form
    31,838.01/43,935.59 = 17,690.49/x
  3. Step 3: Cross multiply
    31,838.01x = 43,935.59 × 17,690.49
  4. Step 4: Simplify right side
    31,838.01x = 777,242,027.09
  5. Step 5: Solve for x
    x = 777,242,027.09/31,838.01
  6. Step 6: Final answer
    x = 24,412.39

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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.