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Finding the Fourth Proportional to 32,233.72, 44,483.82 and 17,698.49

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Solution

The fourth proportional to 32,233.72, 44,483.82 and 17,698.49 is: 24,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233.72 : 44,483.82 = 17,698.49 : x
  2. Step 2: Convert to fraction form
    32,233.72/44,483.82 = 17,698.49/x
  3. Step 3: Cross multiply
    32,233.72x = 44,483.82 × 17,698.49
  4. Step 4: Simplify right side
    32,233.72x = 787,296,329.09
  5. Step 5: Solve for x
    x = 787,296,329.09/32,233.72
  6. Step 6: Final answer
    x = 24,424.62

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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.