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Finding the Fourth Proportional to 70,536.92, 105,832.90 and 31,066.28

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Solution

The fourth proportional to 70,536.92, 105,832.90 and 31,066.28 is: 46,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,536.92 : 105,832.90 = 31,066.28 : x
  2. Step 2: Convert to fraction form
    70,536.92/105,832.90 = 31,066.28/x
  3. Step 3: Cross multiply
    70,536.92x = 105,832.90 × 31,066.28
  4. Step 4: Simplify right side
    70,536.92x = 3,287,834,504.61
  5. Step 5: Solve for x
    x = 3,287,834,504.61/70,536.92
  6. Step 6: Final answer
    x = 46,611.54

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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.