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Finding the Fourth Proportional to 73,466, 101,383.44 and 39,932

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Solution

The fourth proportional to 73,466, 101,383.44 and 39,932 is: 55,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,466 : 101,383.44 = 39,932 : x
  2. Step 2: Convert to fraction form
    73,466/101,383.44 = 39,932/x
  3. Step 3: Cross multiply
    73,466x = 101,383.44 × 39,932
  4. Step 4: Simplify right side
    73,466x = 4,048,443,526.08
  5. Step 5: Solve for x
    x = 4,048,443,526.08/73,466
  6. Step 6: Final answer
    x = 55,106.36

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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.