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Finding the Fourth Proportional to 31,922.50, 47,883.75 and 10,034.50

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Solution

The fourth proportional to 31,922.50, 47,883.75 and 10,034.50 is: 15,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922.50 : 47,883.75 = 10,034.50 : x
  2. Step 2: Convert to fraction form
    31,922.50/47,883.75 = 10,034.50/x
  3. Step 3: Cross multiply
    31,922.50x = 47,883.75 × 10,034.50
  4. Step 4: Simplify right side
    31,922.50x = 480,489,489.38
  5. Step 5: Solve for x
    x = 480,489,489.38/31,922.50
  6. Step 6: Final answer
    x = 15,051.75

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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.