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Finding the Fourth Proportional to 71,129.44, 106,676.72 and 33,688.16

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Solution

The fourth proportional to 71,129.44, 106,676.72 and 33,688.16 is: 50,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,129.44 : 106,676.72 = 33,688.16 : x
  2. Step 2: Convert to fraction form
    71,129.44/106,676.72 = 33,688.16/x
  3. Step 3: Cross multiply
    71,129.44x = 106,676.72 × 33,688.16
  4. Step 4: Simplify right side
    71,129.44x = 3,593,742,411.64
  5. Step 5: Solve for x
    x = 3,593,742,411.64/71,129.44
  6. Step 6: Final answer
    x = 50,523.98

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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.