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Finding the Fourth Proportional to 70,776.96, 106,231.07 and 35,741.22

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Solution

The fourth proportional to 70,776.96, 106,231.07 and 35,741.22 is: 53,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,776.96 : 106,231.07 = 35,741.22 : x
  2. Step 2: Convert to fraction form
    70,776.96/106,231.07 = 35,741.22/x
  3. Step 3: Cross multiply
    70,776.96x = 106,231.07 × 35,741.22
  4. Step 4: Simplify right side
    70,776.96x = 3,796,828,043.71
  5. Step 5: Solve for x
    x = 3,796,828,043.71/70,776.96
  6. Step 6: Final answer
    x = 53,644.97

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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.