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Finding the Fourth Proportional to 31,766, 47,637.56 and 10,701.52

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Solution

The fourth proportional to 31,766, 47,637.56 and 10,701.52 is: 16,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,766 : 47,637.56 = 10,701.52 : x
  2. Step 2: Convert to fraction form
    31,766/47,637.56 = 10,701.52/x
  3. Step 3: Cross multiply
    31,766x = 47,637.56 × 10,701.52
  4. Step 4: Simplify right side
    31,766x = 509,794,301.09
  5. Step 5: Solve for x
    x = 509,794,301.09/31,766
  6. Step 6: Final answer
    x = 16,048.43

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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.