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Finding the Fourth Proportional to 57,946, 79,965.48 and 31,450

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Solution

The fourth proportional to 57,946, 79,965.48 and 31,450 is: 43,401

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,946 : 79,965.48 = 31,450 : x
  2. Step 2: Convert to fraction form
    57,946/79,965.48 = 31,450/x
  3. Step 3: Cross multiply
    57,946x = 79,965.48 × 31,450
  4. Step 4: Simplify right side
    57,946x = 2,514,914,346
  5. Step 5: Solve for x
    x = 2,514,914,346/57,946
  6. Step 6: Final answer
    x = 43,401

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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.