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Finding the Fourth Proportional to 57,533.64, 86,321.16 and 20,099.22

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Solution

The fourth proportional to 57,533.64, 86,321.16 and 20,099.22 is: 30,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,533.64 : 86,321.16 = 20,099.22 : x
  2. Step 2: Convert to fraction form
    57,533.64/86,321.16 = 20,099.22/x
  3. Step 3: Cross multiply
    57,533.64x = 86,321.16 × 20,099.22
  4. Step 4: Simplify right side
    57,533.64x = 1,734,987,985.50
  5. Step 5: Solve for x
    x = 1,734,987,985.50/57,533.64
  6. Step 6: Final answer
    x = 30,156.06

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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.