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Finding the Fourth Proportional to 78,005.98, 107,648.22 and 42,195.94

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Solution

The fourth proportional to 78,005.98, 107,648.22 and 42,195.94 is: 58,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.98 : 107,648.22 = 42,195.94 : x
  2. Step 2: Convert to fraction form
    78,005.98/107,648.22 = 42,195.94/x
  3. Step 3: Cross multiply
    78,005.98x = 107,648.22 × 42,195.94
  4. Step 4: Simplify right side
    78,005.98x = 4,542,317,832.23
  5. Step 5: Solve for x
    x = 4,542,317,832.23/78,005.98
  6. Step 6: Final answer
    x = 58,230.38

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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.