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Finding the Fourth Proportional to 32,178.44, 44,403.98 and 17,837.24

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Solution

The fourth proportional to 32,178.44, 44,403.98 and 17,837.24 is: 24,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.44 : 44,403.98 = 17,837.24 : x
  2. Step 2: Convert to fraction form
    32,178.44/44,403.98 = 17,837.24/x
  3. Step 3: Cross multiply
    32,178.44x = 44,403.98 × 17,837.24
  4. Step 4: Simplify right side
    32,178.44x = 792,044,448.22
  5. Step 5: Solve for x
    x = 792,044,448.22/32,178.44
  6. Step 6: Final answer
    x = 24,614.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.