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Finding the Fourth Proportional to 117,418.24, 176,118 and 33,175

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Solution

The fourth proportional to 117,418.24, 176,118 and 33,175 is: 49,759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,418.24 : 176,118 = 33,175 : x
  2. Step 2: Convert to fraction form
    117,418.24/176,118 = 33,175/x
  3. Step 3: Cross multiply
    117,418.24x = 176,118 × 33,175
  4. Step 4: Simplify right side
    117,418.24x = 5,842,714,650
  5. Step 5: Solve for x
    x = 5,842,714,650/117,418.24
  6. Step 6: Final answer
    x = 49,759.86

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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.