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Finding the Fourth Proportional to 31,713.93, 47,570.76 and 8,021.70

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Solution

The fourth proportional to 31,713.93, 47,570.76 and 8,021.70 is: 12,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.93 : 47,570.76 = 8,021.70 : x
  2. Step 2: Convert to fraction form
    31,713.93/47,570.76 = 8,021.70/x
  3. Step 3: Cross multiply
    31,713.93x = 47,570.76 × 8,021.70
  4. Step 4: Simplify right side
    31,713.93x = 381,598,365.49
  5. Step 5: Solve for x
    x = 381,598,365.49/31,713.93
  6. Step 6: Final answer
    x = 12,032.52

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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.