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Finding the Fourth Proportional to 70,814.44, 106,068.75 and 33,318.32

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Solution

The fourth proportional to 70,814.44, 106,068.75 and 33,318.32 is: 49,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814.44 : 106,068.75 = 33,318.32 : x
  2. Step 2: Convert to fraction form
    70,814.44/106,068.75 = 33,318.32/x
  3. Step 3: Cross multiply
    70,814.44x = 106,068.75 × 33,318.32
  4. Step 4: Simplify right side
    70,814.44x = 3,534,032,819.67
  5. Step 5: Solve for x
    x = 3,534,032,819.67/70,814.44
  6. Step 6: Final answer
    x = 49,905.54

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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.