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Finding the Fourth Proportional to 78,012.45, 107,657.09 and 42,202.38

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Solution

The fourth proportional to 78,012.45, 107,657.09 and 42,202.38 is: 58,239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012.45 : 107,657.09 = 42,202.38 : x
  2. Step 2: Convert to fraction form
    78,012.45/107,657.09 = 42,202.38/x
  3. Step 3: Cross multiply
    78,012.45x = 107,657.09 × 42,202.38
  4. Step 4: Simplify right side
    78,012.45x = 4,543,384,672.58
  5. Step 5: Solve for x
    x = 4,543,384,672.58/78,012.45
  6. Step 6: Final answer
    x = 58,239.23

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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.