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Finding the Fourth Proportional to 31,287.52, 46,902.06 and 11,560.84

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Solution

The fourth proportional to 31,287.52, 46,902.06 and 11,560.84 is: 17,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.52 : 46,902.06 = 11,560.84 : x
  2. Step 2: Convert to fraction form
    31,287.52/46,902.06 = 11,560.84/x
  3. Step 3: Cross multiply
    31,287.52x = 46,902.06 × 11,560.84
  4. Step 4: Simplify right side
    31,287.52x = 542,227,211.33
  5. Step 5: Solve for x
    x = 542,227,211.33/31,287.52
  6. Step 6: Final answer
    x = 17,330.46

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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.