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Finding the Fourth Proportional to 31,424.46, 43,365 and 17,083.89

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Solution

The fourth proportional to 31,424.46, 43,365 and 17,083.89 is: 23,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.46 : 43,365 = 17,083.89 : x
  2. Step 2: Convert to fraction form
    31,424.46/43,365 = 17,083.89/x
  3. Step 3: Cross multiply
    31,424.46x = 43,365 × 17,083.89
  4. Step 4: Simplify right side
    31,424.46x = 740,842,889.85
  5. Step 5: Solve for x
    x = 740,842,889.85/31,424.46
  6. Step 6: Final answer
    x = 23,575.36

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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.