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Finding the Fourth Proportional to 78,109.85, 107,791.38 and 42,299.85

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Solution

The fourth proportional to 78,109.85, 107,791.38 and 42,299.85 is: 58,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,109.85 : 107,791.38 = 42,299.85 : x
  2. Step 2: Convert to fraction form
    78,109.85/107,791.38 = 42,299.85/x
  3. Step 3: Cross multiply
    78,109.85x = 107,791.38 × 42,299.85
  4. Step 4: Simplify right side
    78,109.85x = 4,559,559,609.51
  5. Step 5: Solve for x
    x = 4,559,559,609.51/78,109.85
  6. Step 6: Final answer
    x = 58,373.68

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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.