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Finding the Fourth Proportional to 50,595.84, 69,822 and 29,380.32

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Solution

The fourth proportional to 50,595.84, 69,822 and 29,380.32 is: 40,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,595.84 : 69,822 = 29,380.32 : x
  2. Step 2: Convert to fraction form
    50,595.84/69,822 = 29,380.32/x
  3. Step 3: Cross multiply
    50,595.84x = 69,822 × 29,380.32
  4. Step 4: Simplify right side
    50,595.84x = 2,051,392,703.04
  5. Step 5: Solve for x
    x = 2,051,392,703.04/50,595.84
  6. Step 6: Final answer
    x = 40,544.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.