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Finding the Fourth Proportional to 31,471.90, 47,214.80 and 10,418.51

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Solution

The fourth proportional to 31,471.90, 47,214.80 and 10,418.51 is: 15,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.90 : 47,214.80 = 10,418.51 : x
  2. Step 2: Convert to fraction form
    31,471.90/47,214.80 = 10,418.51/x
  3. Step 3: Cross multiply
    31,471.90x = 47,214.80 × 10,418.51
  4. Step 4: Simplify right side
    31,471.90x = 491,907,970.96
  5. Step 5: Solve for x
    x = 491,907,970.96/31,471.90
  6. Step 6: Final answer
    x = 15,630.07

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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.