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Finding the Fourth Proportional to 32,771.52, 49,159.44 and 9,398.16

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Solution

The fourth proportional to 32,771.52, 49,159.44 and 9,398.16 is: 14,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.52 : 49,159.44 = 9,398.16 : x
  2. Step 2: Convert to fraction form
    32,771.52/49,159.44 = 9,398.16/x
  3. Step 3: Cross multiply
    32,771.52x = 49,159.44 × 9,398.16
  4. Step 4: Simplify right side
    32,771.52x = 462,008,282.63
  5. Step 5: Solve for x
    x = 462,008,282.63/32,771.52
  6. Step 6: Final answer
    x = 14,097.86

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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.