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Finding the Fourth Proportional to 77,658.80, 116,411.40 and 30,849.20

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Solution

The fourth proportional to 77,658.80, 116,411.40 and 30,849.20 is: 46,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.80 : 116,411.40 = 30,849.20 : x
  2. Step 2: Convert to fraction form
    77,658.80/116,411.40 = 30,849.20/x
  3. Step 3: Cross multiply
    77,658.80x = 116,411.40 × 30,849.20
  4. Step 4: Simplify right side
    77,658.80x = 3,591,198,560.88
  5. Step 5: Solve for x
    x = 3,591,198,560.88/77,658.80
  6. Step 6: Final answer
    x = 46,243.29

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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.