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Finding the Fourth Proportional to 76,494.60, 114,766.20 and 34,358.40

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Solution

The fourth proportional to 76,494.60, 114,766.20 and 34,358.40 is: 51,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.60 : 114,766.20 = 34,358.40 : x
  2. Step 2: Convert to fraction form
    76,494.60/114,766.20 = 34,358.40/x
  3. Step 3: Cross multiply
    76,494.60x = 114,766.20 × 34,358.40
  4. Step 4: Simplify right side
    76,494.60x = 3,943,183,006.08
  5. Step 5: Solve for x
    x = 3,943,183,006.08/76,494.60
  6. Step 6: Final answer
    x = 51,548.51

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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.