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Finding the Fourth Proportional to 117,077.63, 175,610.27 and 32,843.66

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Solution

The fourth proportional to 117,077.63, 175,610.27 and 32,843.66 is: 49,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,077.63 : 175,610.27 = 32,843.66 : x
  2. Step 2: Convert to fraction form
    117,077.63/175,610.27 = 32,843.66/x
  3. Step 3: Cross multiply
    117,077.63x = 175,610.27 × 32,843.66
  4. Step 4: Simplify right side
    117,077.63x = 5,767,683,204.45
  5. Step 5: Solve for x
    x = 5,767,683,204.45/117,077.63
  6. Step 6: Final answer
    x = 49,263.75

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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.