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Finding the Fourth Proportional to 32,537.16, 44,902.31 and 21,213.96

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Solution

The fourth proportional to 32,537.16, 44,902.31 and 21,213.96 is: 29,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.16 : 44,902.31 = 21,213.96 : x
  2. Step 2: Convert to fraction form
    32,537.16/44,902.31 = 21,213.96/x
  3. Step 3: Cross multiply
    32,537.16x = 44,902.31 × 21,213.96
  4. Step 4: Simplify right side
    32,537.16x = 952,555,702.18
  5. Step 5: Solve for x
    x = 952,555,702.18/32,537.16
  6. Step 6: Final answer
    x = 29,275.93

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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.