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Finding the Fourth Proportional to 70,605.75, 105,952.40 and 41,037.51

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Solution

The fourth proportional to 70,605.75, 105,952.40 and 41,037.51 is: 61,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605.75 : 105,952.40 = 41,037.51 : x
  2. Step 2: Convert to fraction form
    70,605.75/105,952.40 = 41,037.51/x
  3. Step 3: Cross multiply
    70,605.75x = 105,952.40 × 41,037.51
  4. Step 4: Simplify right side
    70,605.75x = 4,348,022,469.34
  5. Step 5: Solve for x
    x = 4,348,022,469.34/70,605.75
  6. Step 6: Final answer
    x = 61,581.71

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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.