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Finding the Fourth Proportional to 33,311.68, 49,980.16 and 9,938.24

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Solution

The fourth proportional to 33,311.68, 49,980.16 and 9,938.24 is: 14,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,311.68 : 49,980.16 = 9,938.24 : x
  2. Step 2: Convert to fraction form
    33,311.68/49,980.16 = 9,938.24/x
  3. Step 3: Cross multiply
    33,311.68x = 49,980.16 × 9,938.24
  4. Step 4: Simplify right side
    33,311.68x = 496,714,825.32
  5. Step 5: Solve for x
    x = 496,714,825.32/33,311.68
  6. Step 6: Final answer
    x = 14,911.13

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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.