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Finding the Fourth Proportional to 51,207.60, 76,811.40 and 47,708.40

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Solution

The fourth proportional to 51,207.60, 76,811.40 and 47,708.40 is: 71,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207.60 : 76,811.40 = 47,708.40 : x
  2. Step 2: Convert to fraction form
    51,207.60/76,811.40 = 47,708.40/x
  3. Step 3: Cross multiply
    51,207.60x = 76,811.40 × 47,708.40
  4. Step 4: Simplify right side
    51,207.60x = 3,664,548,995.76
  5. Step 5: Solve for x
    x = 3,664,548,995.76/51,207.60
  6. Step 6: Final answer
    x = 71,562.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.