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Finding the Fourth Proportional to 31,518.77, 47,262.74 and 10,451.73

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Solution

The fourth proportional to 31,518.77, 47,262.74 and 10,451.73 is: 15,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518.77 : 47,262.74 = 10,451.73 : x
  2. Step 2: Convert to fraction form
    31,518.77/47,262.74 = 10,451.73/x
  3. Step 3: Cross multiply
    31,518.77x = 47,262.74 × 10,451.73
  4. Step 4: Simplify right side
    31,518.77x = 493,977,581.31
  5. Step 5: Solve for x
    x = 493,977,581.31/31,518.77
  6. Step 6: Final answer
    x = 15,672.49

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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.