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Finding the Fourth Proportional to 78,105.86, 107,786.15 and 42,295.91

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Solution

The fourth proportional to 78,105.86, 107,786.15 and 42,295.91 is: 58,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,105.86 : 107,786.15 = 42,295.91 : x
  2. Step 2: Convert to fraction form
    78,105.86/107,786.15 = 42,295.91/x
  3. Step 3: Cross multiply
    78,105.86x = 107,786.15 × 42,295.91
  4. Step 4: Simplify right side
    78,105.86x = 4,558,912,549.24
  5. Step 5: Solve for x
    x = 4,558,912,549.24/78,105.86
  6. Step 6: Final answer
    x = 58,368.38

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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.