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Finding the Fourth Proportional to 70,885, 106,327.50 and 29,333.08

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Solution

The fourth proportional to 70,885, 106,327.50 and 29,333.08 is: 43,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,885 : 106,327.50 = 29,333.08 : x
  2. Step 2: Convert to fraction form
    70,885/106,327.50 = 29,333.08/x
  3. Step 3: Cross multiply
    70,885x = 106,327.50 × 29,333.08
  4. Step 4: Simplify right side
    70,885x = 3,118,913,063.70
  5. Step 5: Solve for x
    x = 3,118,913,063.70/70,885
  6. Step 6: Final answer
    x = 43,999.62

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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.