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Finding the Fourth Proportional to 32,744.77, 49,089.39 and 11,678.47

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Solution

The fourth proportional to 32,744.77, 49,089.39 and 11,678.47 is: 17,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744.77 : 49,089.39 = 11,678.47 : x
  2. Step 2: Convert to fraction form
    32,744.77/49,089.39 = 11,678.47/x
  3. Step 3: Cross multiply
    32,744.77x = 49,089.39 × 11,678.47
  4. Step 4: Simplify right side
    32,744.77x = 573,288,968.43
  5. Step 5: Solve for x
    x = 573,288,968.43/32,744.77
  6. Step 6: Final answer
    x = 17,507.80

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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.