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Finding the Fourth Proportional to 78,803.61, 108,757.35 and 48,194.61

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Solution

The fourth proportional to 78,803.61, 108,757.35 and 48,194.61 is: 66,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,803.61 : 108,757.35 = 48,194.61 : x
  2. Step 2: Convert to fraction form
    78,803.61/108,757.35 = 48,194.61/x
  3. Step 3: Cross multiply
    78,803.61x = 108,757.35 × 48,194.61
  4. Step 4: Simplify right side
    78,803.61x = 5,241,518,067.88
  5. Step 5: Solve for x
    x = 5,241,518,067.88/78,803.61
  6. Step 6: Final answer
    x = 66,513.68

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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.