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Finding the Fourth Proportional to 71,065.34, 106,665 and 52,288.14

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Solution

The fourth proportional to 71,065.34, 106,665 and 52,288.14 is: 78,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,065.34 : 106,665 = 52,288.14 : x
  2. Step 2: Convert to fraction form
    71,065.34/106,665 = 52,288.14/x
  3. Step 3: Cross multiply
    71,065.34x = 106,665 × 52,288.14
  4. Step 4: Simplify right side
    71,065.34x = 5,577,314,453.10
  5. Step 5: Solve for x
    x = 5,577,314,453.10/71,065.34
  6. Step 6: Final answer
    x = 78,481.50

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Why These Related Problems?

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