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Finding the Fourth Proportional to 32,581.41, 44,962.34 and 17,677.41

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Solution

The fourth proportional to 32,581.41, 44,962.34 and 17,677.41 is: 24,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581.41 : 44,962.34 = 17,677.41 : x
  2. Step 2: Convert to fraction form
    32,581.41/44,962.34 = 17,677.41/x
  3. Step 3: Cross multiply
    32,581.41x = 44,962.34 × 17,677.41
  4. Step 4: Simplify right side
    32,581.41x = 794,817,561.18
  5. Step 5: Solve for x
    x = 794,817,561.18/32,581.41
  6. Step 6: Final answer
    x = 24,394.82

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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.