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Finding the Fourth Proportional to 51,811.98, 71,447.04 and 48,797.70

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Solution

The fourth proportional to 51,811.98, 71,447.04 and 48,797.70 is: 67,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811.98 : 71,447.04 = 48,797.70 : x
  2. Step 2: Convert to fraction form
    51,811.98/71,447.04 = 48,797.70/x
  3. Step 3: Cross multiply
    51,811.98x = 71,447.04 × 48,797.70
  4. Step 4: Simplify right side
    51,811.98x = 3,486,451,223.81
  5. Step 5: Solve for x
    x = 3,486,451,223.81/51,811.98
  6. Step 6: Final answer
    x = 67,290.45

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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.