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Finding the Fourth Proportional to 32,296.50, 44,581.64 and 21,537.47

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Solution

The fourth proportional to 32,296.50, 44,581.64 and 21,537.47 is: 29,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.50 : 44,581.64 = 21,537.47 : x
  2. Step 2: Convert to fraction form
    32,296.50/44,581.64 = 21,537.47/x
  3. Step 3: Cross multiply
    32,296.50x = 44,581.64 × 21,537.47
  4. Step 4: Simplify right side
    32,296.50x = 960,175,737.82
  5. Step 5: Solve for x
    x = 960,175,737.82/32,296.50
  6. Step 6: Final answer
    x = 29,730.02

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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.