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Finding the Fourth Proportional to 31,283.68, 46,932.45 and 17,236.48

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Solution

The fourth proportional to 31,283.68, 46,932.45 and 17,236.48 is: 25,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.68 : 46,932.45 = 17,236.48 : x
  2. Step 2: Convert to fraction form
    31,283.68/46,932.45 = 17,236.48/x
  3. Step 3: Cross multiply
    31,283.68x = 46,932.45 × 17,236.48
  4. Step 4: Simplify right side
    31,283.68x = 808,950,001.11
  5. Step 5: Solve for x
    x = 808,950,001.11/31,283.68
  6. Step 6: Final answer
    x = 25,858.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.