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Finding the Fourth Proportional to 31,554.82, 43,545.79 and 17,407.66

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Solution

The fourth proportional to 31,554.82, 43,545.79 and 17,407.66 is: 24,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,554.82 : 43,545.79 = 17,407.66 : x
  2. Step 2: Convert to fraction form
    31,554.82/43,545.79 = 17,407.66/x
  3. Step 3: Cross multiply
    31,554.82x = 43,545.79 × 17,407.66
  4. Step 4: Simplify right side
    31,554.82x = 758,030,089.02
  5. Step 5: Solve for x
    x = 758,030,089.02/31,554.82
  6. Step 6: Final answer
    x = 24,022.64

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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.