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Finding the Fourth Proportional to 29,976.48, 44,964.72 and 9,200.16

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Solution

The fourth proportional to 29,976.48, 44,964.72 and 9,200.16 is: 13,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976.48 : 44,964.72 = 9,200.16 : x
  2. Step 2: Convert to fraction form
    29,976.48/44,964.72 = 9,200.16/x
  3. Step 3: Cross multiply
    29,976.48x = 44,964.72 × 9,200.16
  4. Step 4: Simplify right side
    29,976.48x = 413,682,618.36
  5. Step 5: Solve for x
    x = 413,682,618.36/29,976.48
  6. Step 6: Final answer
    x = 13,800.24

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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.