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Finding the Fourth Proportional to 31,473.09, 47,256.17 and 21,008.31

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Solution

The fourth proportional to 31,473.09, 47,256.17 and 21,008.31 is: 31,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473.09 : 47,256.17 = 21,008.31 : x
  2. Step 2: Convert to fraction form
    31,473.09/47,256.17 = 21,008.31/x
  3. Step 3: Cross multiply
    31,473.09x = 47,256.17 × 21,008.31
  4. Step 4: Simplify right side
    31,473.09x = 992,772,163.73
  5. Step 5: Solve for x
    x = 992,772,163.73/31,473.09
  6. Step 6: Final answer
    x = 31,543.52

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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.