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Finding the Fourth Proportional to 76,101.60, 114,217.20 and 34,046.40

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Solution

The fourth proportional to 76,101.60, 114,217.20 and 34,046.40 is: 51,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,101.60 : 114,217.20 = 34,046.40 : x
  2. Step 2: Convert to fraction form
    76,101.60/114,217.20 = 34,046.40/x
  3. Step 3: Cross multiply
    76,101.60x = 114,217.20 × 34,046.40
  4. Step 4: Simplify right side
    76,101.60x = 3,888,684,478.08
  5. Step 5: Solve for x
    x = 3,888,684,478.08/76,101.60
  6. Step 6: Final answer
    x = 51,098.59

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1.5x scale

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.