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Finding the Fourth Proportional to 71,201.72, 106,718.72 and 29,055.50

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Solution

The fourth proportional to 71,201.72, 106,718.72 and 29,055.50 is: 43,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,201.72 : 106,718.72 = 29,055.50 : x
  2. Step 2: Convert to fraction form
    71,201.72/106,718.72 = 29,055.50/x
  3. Step 3: Cross multiply
    71,201.72x = 106,718.72 × 29,055.50
  4. Step 4: Simplify right side
    71,201.72x = 3,100,765,768.96
  5. Step 5: Solve for x
    x = 3,100,765,768.96/71,201.72
  6. Step 6: Final answer
    x = 43,549.03

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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.