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Finding the Fourth Proportional to 117,122.63, 175,688.87 and 34,016.63

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Solution

The fourth proportional to 117,122.63, 175,688.87 and 34,016.63 is: 51,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,122.63 : 175,688.87 = 34,016.63 : x
  2. Step 2: Convert to fraction form
    117,122.63/175,688.87 = 34,016.63/x
  3. Step 3: Cross multiply
    117,122.63x = 175,688.87 × 34,016.63
  4. Step 4: Simplify right side
    117,122.63x = 5,976,342,237.38
  5. Step 5: Solve for x
    x = 5,976,342,237.38/117,122.63
  6. Step 6: Final answer
    x = 51,026.37

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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.