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Finding the Fourth Proportional to 117,646.74, 176,469.84 and 33,407.01

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Solution

The fourth proportional to 117,646.74, 176,469.84 and 33,407.01 is: 50,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,646.74 : 176,469.84 = 33,407.01 : x
  2. Step 2: Convert to fraction form
    117,646.74/176,469.84 = 33,407.01/x
  3. Step 3: Cross multiply
    117,646.74x = 176,469.84 × 33,407.01
  4. Step 4: Simplify right side
    117,646.74x = 5,895,329,709.58
  5. Step 5: Solve for x
    x = 5,895,329,709.58/117,646.74
  6. Step 6: Final answer
    x = 50,110.44

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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.