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Finding the Fourth Proportional to 109,643.20, 164,464.80 and 39,524.80

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Solution

The fourth proportional to 109,643.20, 164,464.80 and 39,524.80 is: 59,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,643.20 : 164,464.80 = 39,524.80 : x
  2. Step 2: Convert to fraction form
    109,643.20/164,464.80 = 39,524.80/x
  3. Step 3: Cross multiply
    109,643.20x = 164,464.80 × 39,524.80
  4. Step 4: Simplify right side
    109,643.20x = 6,500,438,327.04
  5. Step 5: Solve for x
    x = 6,500,438,327.04/109,643.20
  6. Step 6: Final answer
    x = 59,287.20

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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.