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Finding the Fourth Proportional to 55,643.20, 83,464.80 and 50,102.80

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Solution

The fourth proportional to 55,643.20, 83,464.80 and 50,102.80 is: 75,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.20 : 83,464.80 = 50,102.80 : x
  2. Step 2: Convert to fraction form
    55,643.20/83,464.80 = 50,102.80/x
  3. Step 3: Cross multiply
    55,643.20x = 83,464.80 × 50,102.80
  4. Step 4: Simplify right side
    55,643.20x = 4,181,820,181.44
  5. Step 5: Solve for x
    x = 4,181,820,181.44/55,643.20
  6. Step 6: Final answer
    x = 75,154.20

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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.