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Finding the Fourth Proportional to 78,342.38, 108,137.14 and 50,048.07

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Solution

The fourth proportional to 78,342.38, 108,137.14 and 50,048.07 is: 69,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.38 : 108,137.14 = 50,048.07 : x
  2. Step 2: Convert to fraction form
    78,342.38/108,137.14 = 50,048.07/x
  3. Step 3: Cross multiply
    78,342.38x = 108,137.14 × 50,048.07
  4. Step 4: Simplify right side
    78,342.38x = 5,412,055,152.32
  5. Step 5: Solve for x
    x = 5,412,055,152.32/78,342.38
  6. Step 6: Final answer
    x = 69,082.09

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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.