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Finding the Fourth Proportional to 31,804.87, 43,892.04 and 17,657.71

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Solution

The fourth proportional to 31,804.87, 43,892.04 and 17,657.71 is: 24,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.87 : 43,892.04 = 17,657.71 : x
  2. Step 2: Convert to fraction form
    31,804.87/43,892.04 = 17,657.71/x
  3. Step 3: Cross multiply
    31,804.87x = 43,892.04 × 17,657.71
  4. Step 4: Simplify right side
    31,804.87x = 775,032,913.63
  5. Step 5: Solve for x
    x = 775,032,913.63/31,804.87
  6. Step 6: Final answer
    x = 24,368.37

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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.