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Finding the Fourth Proportional to 32,843.42, 49,261.08 and 9,152.74

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Solution

The fourth proportional to 32,843.42, 49,261.08 and 9,152.74 is: 13,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.42 : 49,261.08 = 9,152.74 : x
  2. Step 2: Convert to fraction form
    32,843.42/49,261.08 = 9,152.74/x
  3. Step 3: Cross multiply
    32,843.42x = 49,261.08 × 9,152.74
  4. Step 4: Simplify right side
    32,843.42x = 450,873,857.36
  5. Step 5: Solve for x
    x = 450,873,857.36/32,843.42
  6. Step 6: Final answer
    x = 13,727.98

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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.