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Finding the Fourth Proportional to 75,107.35, 103,644.16 and 42,842.82

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Solution

The fourth proportional to 75,107.35, 103,644.16 and 42,842.82 is: 59,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107.35 : 103,644.16 = 42,842.82 : x
  2. Step 2: Convert to fraction form
    75,107.35/103,644.16 = 42,842.82/x
  3. Step 3: Cross multiply
    75,107.35x = 103,644.16 × 42,842.82
  4. Step 4: Simplify right side
    75,107.35x = 4,440,408,372.49
  5. Step 5: Solve for x
    x = 4,440,408,372.49/75,107.35
  6. Step 6: Final answer
    x = 59,120.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.