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Finding the Fourth Proportional to 32,034.24, 44,223.44 and 21,966.76

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Solution

The fourth proportional to 32,034.24, 44,223.44 and 21,966.76 is: 30,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.24 : 44,223.44 = 21,966.76 : x
  2. Step 2: Convert to fraction form
    32,034.24/44,223.44 = 21,966.76/x
  3. Step 3: Cross multiply
    32,034.24x = 44,223.44 × 21,966.76
  4. Step 4: Simplify right side
    32,034.24x = 971,445,692.85
  5. Step 5: Solve for x
    x = 971,445,692.85/32,034.24
  6. Step 6: Final answer
    x = 30,325.23

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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.