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Finding the Fourth Proportional to 71,351.64, 107,043.12 and 29,232

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Solution

The fourth proportional to 71,351.64, 107,043.12 and 29,232 is: 43,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,351.64 : 107,043.12 = 29,232 : x
  2. Step 2: Convert to fraction form
    71,351.64/107,043.12 = 29,232/x
  3. Step 3: Cross multiply
    71,351.64x = 107,043.12 × 29,232
  4. Step 4: Simplify right side
    71,351.64x = 3,129,084,483.84
  5. Step 5: Solve for x
    x = 3,129,084,483.84/71,351.64
  6. Step 6: Final answer
    x = 43,854.42

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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.