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Finding the Fourth Proportional to 32,409.19, 44,761.92 and 21,635.30

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Solution

The fourth proportional to 32,409.19, 44,761.92 and 21,635.30 is: 29,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.19 : 44,761.92 = 21,635.30 : x
  2. Step 2: Convert to fraction form
    32,409.19/44,761.92 = 21,635.30/x
  3. Step 3: Cross multiply
    32,409.19x = 44,761.92 × 21,635.30
  4. Step 4: Simplify right side
    32,409.19x = 968,437,679.68
  5. Step 5: Solve for x
    x = 968,437,679.68/32,409.19
  6. Step 6: Final answer
    x = 29,881.58

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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.