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Finding the Fourth Proportional to 36,022.80, 54,034.20 and 9,730.20

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Solution

The fourth proportional to 36,022.80, 54,034.20 and 9,730.20 is: 14,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022.80 : 54,034.20 = 9,730.20 : x
  2. Step 2: Convert to fraction form
    36,022.80/54,034.20 = 9,730.20/x
  3. Step 3: Cross multiply
    36,022.80x = 54,034.20 × 9,730.20
  4. Step 4: Simplify right side
    36,022.80x = 525,763,572.84
  5. Step 5: Solve for x
    x = 525,763,572.84/36,022.80
  6. Step 6: Final answer
    x = 14,595.30

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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.