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Finding the Fourth Proportional to 71,076.72, 106,557.48 and 29,554.80

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Solution

The fourth proportional to 71,076.72, 106,557.48 and 29,554.80 is: 44,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,076.72 : 106,557.48 = 29,554.80 : x
  2. Step 2: Convert to fraction form
    71,076.72/106,557.48 = 29,554.80/x
  3. Step 3: Cross multiply
    71,076.72x = 106,557.48 × 29,554.80
  4. Step 4: Simplify right side
    71,076.72x = 3,149,285,009.90
  5. Step 5: Solve for x
    x = 3,149,285,009.90/71,076.72
  6. Step 6: Final answer
    x = 44,308.25

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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.