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Finding the Fourth Proportional to 71,052.30, 106,580.28 and 33,629.88

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Solution

The fourth proportional to 71,052.30, 106,580.28 and 33,629.88 is: 50,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,052.30 : 106,580.28 = 33,629.88 : x
  2. Step 2: Convert to fraction form
    71,052.30/106,580.28 = 33,629.88/x
  3. Step 3: Cross multiply
    71,052.30x = 106,580.28 × 33,629.88
  4. Step 4: Simplify right side
    71,052.30x = 3,584,282,026.77
  5. Step 5: Solve for x
    x = 3,584,282,026.77/71,052.30
  6. Step 6: Final answer
    x = 50,445.69

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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.