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Finding the Fourth Proportional to 32,863.83, 49,276.01 and 12,849.48

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Solution

The fourth proportional to 32,863.83, 49,276.01 and 12,849.48 is: 19,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.83 : 49,276.01 = 12,849.48 : x
  2. Step 2: Convert to fraction form
    32,863.83/49,276.01 = 12,849.48/x
  3. Step 3: Cross multiply
    32,863.83x = 49,276.01 × 12,849.48
  4. Step 4: Simplify right side
    32,863.83x = 633,171,111.02
  5. Step 5: Solve for x
    x = 633,171,111.02/32,863.83
  6. Step 6: Final answer
    x = 19,266.50

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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.