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Finding the Fourth Proportional to 50,742.38, 70,058.94 and 31,629.80

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Solution

The fourth proportional to 50,742.38, 70,058.94 and 31,629.80 is: 43,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742.38 : 70,058.94 = 31,629.80 : x
  2. Step 2: Convert to fraction form
    50,742.38/70,058.94 = 31,629.80/x
  3. Step 3: Cross multiply
    50,742.38x = 70,058.94 × 31,629.80
  4. Step 4: Simplify right side
    50,742.38x = 2,215,950,260.41
  5. Step 5: Solve for x
    x = 2,215,950,260.41/50,742.38
  6. Step 6: Final answer
    x = 43,670.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.