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Finding the Fourth Proportional to 71,137.02, 106,717.05 and 21,877.50

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Solution

The fourth proportional to 71,137.02, 106,717.05 and 21,877.50 is: 32,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,137.02 : 106,717.05 = 21,877.50 : x
  2. Step 2: Convert to fraction form
    71,137.02/106,717.05 = 21,877.50/x
  3. Step 3: Cross multiply
    71,137.02x = 106,717.05 × 21,877.50
  4. Step 4: Simplify right side
    71,137.02x = 2,334,702,261.38
  5. Step 5: Solve for x
    x = 2,334,702,261.38/71,137.02
  6. Step 6: Final answer
    x = 32,819.79

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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.