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Finding the Fourth Proportional to 78,107.12, 107,787.41 and 42,296.82

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Solution

The fourth proportional to 78,107.12, 107,787.41 and 42,296.82 is: 58,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.12 : 107,787.41 = 42,296.82 : x
  2. Step 2: Convert to fraction form
    78,107.12/107,787.41 = 42,296.82/x
  3. Step 3: Cross multiply
    78,107.12x = 107,787.41 × 42,296.82
  4. Step 4: Simplify right side
    78,107.12x = 4,559,064,221.96
  5. Step 5: Solve for x
    x = 4,559,064,221.96/78,107.12
  6. Step 6: Final answer
    x = 58,369.38

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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.