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Finding the Fourth Proportional to 78,159.81, 107,861.03 and 42,350.08

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Solution

The fourth proportional to 78,159.81, 107,861.03 and 42,350.08 is: 58,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,159.81 : 107,861.03 = 42,350.08 : x
  2. Step 2: Convert to fraction form
    78,159.81/107,861.03 = 42,350.08/x
  3. Step 3: Cross multiply
    78,159.81x = 107,861.03 × 42,350.08
  4. Step 4: Simplify right side
    78,159.81x = 4,567,923,249.38
  5. Step 5: Solve for x
    x = 4,567,923,249.38/78,159.81
  6. Step 6: Final answer
    x = 58,443.38

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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.