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Finding the Fourth Proportional to 32,848.48, 49,273.74 and 12,857.20

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Solution

The fourth proportional to 32,848.48, 49,273.74 and 12,857.20 is: 19,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,848.48 : 49,273.74 = 12,857.20 : x
  2. Step 2: Convert to fraction form
    32,848.48/49,273.74 = 12,857.20/x
  3. Step 3: Cross multiply
    32,848.48x = 49,273.74 × 12,857.20
  4. Step 4: Simplify right side
    32,848.48x = 633,522,329.93
  5. Step 5: Solve for x
    x = 633,522,329.93/32,848.48
  6. Step 6: Final answer
    x = 19,286.20

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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.