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Finding the Fourth Proportional to 32,120.66, 44,326.57 and 17,781.49

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Solution

The fourth proportional to 32,120.66, 44,326.57 and 17,781.49 is: 24,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.66 : 44,326.57 = 17,781.49 : x
  2. Step 2: Convert to fraction form
    32,120.66/44,326.57 = 17,781.49/x
  3. Step 3: Cross multiply
    32,120.66x = 44,326.57 × 17,781.49
  4. Step 4: Simplify right side
    32,120.66x = 788,192,461.19
  5. Step 5: Solve for x
    x = 788,192,461.19/32,120.66
  6. Step 6: Final answer
    x = 24,538.49

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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.