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Finding the Fourth Proportional to 31,200.92, 46,748.58 and 18,863

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Solution

The fourth proportional to 31,200.92, 46,748.58 and 18,863 is: 28,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.92 : 46,748.58 = 18,863 : x
  2. Step 2: Convert to fraction form
    31,200.92/46,748.58 = 18,863/x
  3. Step 3: Cross multiply
    31,200.92x = 46,748.58 × 18,863
  4. Step 4: Simplify right side
    31,200.92x = 881,818,464.54
  5. Step 5: Solve for x
    x = 881,818,464.54/31,200.92
  6. Step 6: Final answer
    x = 28,262.58

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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.