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Finding the Fourth Proportional to 77,671.88, 107,198.70 and 47,474.60

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Solution

The fourth proportional to 77,671.88, 107,198.70 and 47,474.60 is: 65,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,671.88 : 107,198.70 = 47,474.60 : x
  2. Step 2: Convert to fraction form
    77,671.88/107,198.70 = 47,474.60/x
  3. Step 3: Cross multiply
    77,671.88x = 107,198.70 × 47,474.60
  4. Step 4: Simplify right side
    77,671.88x = 5,089,215,403.02
  5. Step 5: Solve for x
    x = 5,089,215,403.02/77,671.88
  6. Step 6: Final answer
    x = 65,521.98

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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.