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Finding the Fourth Proportional to 71,130.44, 106,678.22 and 33,689.16

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Solution

The fourth proportional to 71,130.44, 106,678.22 and 33,689.16 is: 50,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130.44 : 106,678.22 = 33,689.16 : x
  2. Step 2: Convert to fraction form
    71,130.44/106,678.22 = 33,689.16/x
  3. Step 3: Cross multiply
    71,130.44x = 106,678.22 × 33,689.16
  4. Step 4: Simplify right side
    71,130.44x = 3,593,899,622.10
  5. Step 5: Solve for x
    x = 3,593,899,622.10/71,130.44
  6. Step 6: Final answer
    x = 50,525.48

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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.