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Finding the Fourth Proportional to 78,193.32, 107,906.16 and 42,382.41

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Solution

The fourth proportional to 78,193.32, 107,906.16 and 42,382.41 is: 58,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.32 : 107,906.16 = 42,382.41 : x
  2. Step 2: Convert to fraction form
    78,193.32/107,906.16 = 42,382.41/x
  3. Step 3: Cross multiply
    78,193.32x = 107,906.16 × 42,382.41
  4. Step 4: Simplify right side
    78,193.32x = 4,573,323,114.65
  5. Step 5: Solve for x
    x = 4,573,323,114.65/78,193.32
  6. Step 6: Final answer
    x = 58,487.39

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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.