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Finding the Fourth Proportional to 33,116.80, 49,658.10 and 9,740.20

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Solution

The fourth proportional to 33,116.80, 49,658.10 and 9,740.20 is: 14,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116.80 : 49,658.10 = 9,740.20 : x
  2. Step 2: Convert to fraction form
    33,116.80/49,658.10 = 9,740.20/x
  3. Step 3: Cross multiply
    33,116.80x = 49,658.10 × 9,740.20
  4. Step 4: Simplify right side
    33,116.80x = 483,679,825.62
  5. Step 5: Solve for x
    x = 483,679,825.62/33,116.80
  6. Step 6: Final answer
    x = 14,605.27

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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.