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Finding the Fourth Proportional to 31,501.68, 43,471.80 and 17,355.84

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Solution

The fourth proportional to 31,501.68, 43,471.80 and 17,355.84 is: 23,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.68 : 43,471.80 = 17,355.84 : x
  2. Step 2: Convert to fraction form
    31,501.68/43,471.80 = 17,355.84/x
  3. Step 3: Cross multiply
    31,501.68x = 43,471.80 × 17,355.84
  4. Step 4: Simplify right side
    31,501.68x = 754,489,605.31
  5. Step 5: Solve for x
    x = 754,489,605.31/31,501.68
  6. Step 6: Final answer
    x = 23,950.77

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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.