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Finding the Fourth Proportional to 71,134.02, 106,712.55 and 21,874.50

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Solution

The fourth proportional to 71,134.02, 106,712.55 and 21,874.50 is: 32,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.02 : 106,712.55 = 21,874.50 : x
  2. Step 2: Convert to fraction form
    71,134.02/106,712.55 = 21,874.50/x
  3. Step 3: Cross multiply
    71,134.02x = 106,712.55 × 21,874.50
  4. Step 4: Simplify right side
    71,134.02x = 2,334,283,674.98
  5. Step 5: Solve for x
    x = 2,334,283,674.98/71,134.02
  6. Step 6: Final answer
    x = 32,815.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.