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Finding the Fourth Proportional to 77,396.94, 116,010.42 and 39,959.82

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Solution

The fourth proportional to 77,396.94, 116,010.42 and 39,959.82 is: 59,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,396.94 : 116,010.42 = 39,959.82 : x
  2. Step 2: Convert to fraction form
    77,396.94/116,010.42 = 39,959.82/x
  3. Step 3: Cross multiply
    77,396.94x = 116,010.42 × 39,959.82
  4. Step 4: Simplify right side
    77,396.94x = 4,635,755,501.32
  5. Step 5: Solve for x
    x = 4,635,755,501.32/77,396.94
  6. Step 6: Final answer
    x = 59,895.85

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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.