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Finding the Fourth Proportional to 70,640.96, 105,857.75 and 35,532.32

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Solution

The fourth proportional to 70,640.96, 105,857.75 and 35,532.32 is: 53,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,640.96 : 105,857.75 = 35,532.32 : x
  2. Step 2: Convert to fraction form
    70,640.96/105,857.75 = 35,532.32/x
  3. Step 3: Cross multiply
    70,640.96x = 105,857.75 × 35,532.32
  4. Step 4: Simplify right side
    70,640.96x = 3,761,371,007.02
  5. Step 5: Solve for x
    x = 3,761,371,007.02/70,640.96
  6. Step 6: Final answer
    x = 53,246.32

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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.