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Finding the Fourth Proportional to 77,893.92, 107,493.47 and 42,083.82

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Solution

The fourth proportional to 77,893.92, 107,493.47 and 42,083.82 is: 58,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893.92 : 107,493.47 = 42,083.82 : x
  2. Step 2: Convert to fraction form
    77,893.92/107,493.47 = 42,083.82/x
  3. Step 3: Cross multiply
    77,893.92x = 107,493.47 × 42,083.82
  4. Step 4: Simplify right side
    77,893.92x = 4,523,735,632.24
  5. Step 5: Solve for x
    x = 4,523,735,632.24/77,893.92
  6. Step 6: Final answer
    x = 58,075.59

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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.