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Finding the Fourth Proportional to 77,114.70, 115,672.05 and 47,590.20

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Solution

The fourth proportional to 77,114.70, 115,672.05 and 47,590.20 is: 71,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.70 : 115,672.05 = 47,590.20 : x
  2. Step 2: Convert to fraction form
    77,114.70/115,672.05 = 47,590.20/x
  3. Step 3: Cross multiply
    77,114.70x = 115,672.05 × 47,590.20
  4. Step 4: Simplify right side
    77,114.70x = 5,504,855,993.91
  5. Step 5: Solve for x
    x = 5,504,855,993.91/77,114.70
  6. Step 6: Final answer
    x = 71,385.30

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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.