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Finding the Fourth Proportional to 76,200.70, 114,082.35 and 46,676.20

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Solution

The fourth proportional to 76,200.70, 114,082.35 and 46,676.20 is: 69,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200.70 : 114,082.35 = 46,676.20 : x
  2. Step 2: Convert to fraction form
    76,200.70/114,082.35 = 46,676.20/x
  3. Step 3: Cross multiply
    76,200.70x = 114,082.35 × 46,676.20
  4. Step 4: Simplify right side
    76,200.70x = 5,324,930,585.07
  5. Step 5: Solve for x
    x = 5,324,930,585.07/76,200.70
  6. Step 6: Final answer
    x = 69,880.34

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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.