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Finding the Fourth Proportional to 78,245.94, 107,978.79 and 42,436.02

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Solution

The fourth proportional to 78,245.94, 107,978.79 and 42,436.02 is: 58,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,245.94 : 107,978.79 = 42,436.02 : x
  2. Step 2: Convert to fraction form
    78,245.94/107,978.79 = 42,436.02/x
  3. Step 3: Cross multiply
    78,245.94x = 107,978.79 × 42,436.02
  4. Step 4: Simplify right side
    78,245.94x = 4,582,190,092.02
  5. Step 5: Solve for x
    x = 4,582,190,092.02/78,245.94
  6. Step 6: Final answer
    x = 58,561.38

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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.