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Finding the Fourth Proportional to 33,643.80, 50,465.70 and 10,267.20

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Solution

The fourth proportional to 33,643.80, 50,465.70 and 10,267.20 is: 15,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.80 : 50,465.70 = 10,267.20 : x
  2. Step 2: Convert to fraction form
    33,643.80/50,465.70 = 10,267.20/x
  3. Step 3: Cross multiply
    33,643.80x = 50,465.70 × 10,267.20
  4. Step 4: Simplify right side
    33,643.80x = 518,141,435.04
  5. Step 5: Solve for x
    x = 518,141,435.04/33,643.80
  6. Step 6: Final answer
    x = 15,400.80

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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.