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Finding the Fourth Proportional to 32,033.24, 44,222.06 and 21,965.76

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Solution

The fourth proportional to 32,033.24, 44,222.06 and 21,965.76 is: 30,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.24 : 44,222.06 = 21,965.76 : x
  2. Step 2: Convert to fraction form
    32,033.24/44,222.06 = 21,965.76/x
  3. Step 3: Cross multiply
    32,033.24x = 44,222.06 × 21,965.76
  4. Step 4: Simplify right side
    32,033.24x = 971,371,156.67
  5. Step 5: Solve for x
    x = 971,371,156.67/32,033.24
  6. Step 6: Final answer
    x = 30,323.85

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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.