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Finding the Fourth Proportional to 32,044.39, 48,066.71 and 9,857.62

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Solution

The fourth proportional to 32,044.39, 48,066.71 and 9,857.62 is: 14,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.39 : 48,066.71 = 9,857.62 : x
  2. Step 2: Convert to fraction form
    32,044.39/48,066.71 = 9,857.62/x
  3. Step 3: Cross multiply
    32,044.39x = 48,066.71 × 9,857.62
  4. Step 4: Simplify right side
    32,044.39x = 473,823,129.97
  5. Step 5: Solve for x
    x = 473,823,129.97/32,044.39
  6. Step 6: Final answer
    x = 14,786.46

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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.