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Finding the Fourth Proportional to 52,775.42, 79,161.30 and 20,322.16

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Solution

The fourth proportional to 52,775.42, 79,161.30 and 20,322.16 is: 30,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,775.42 : 79,161.30 = 20,322.16 : x
  2. Step 2: Convert to fraction form
    52,775.42/79,161.30 = 20,322.16/x
  3. Step 3: Cross multiply
    52,775.42x = 79,161.30 × 20,322.16
  4. Step 4: Simplify right side
    52,775.42x = 1,608,728,406.50
  5. Step 5: Solve for x
    x = 1,608,728,406.50/52,775.42
  6. Step 6: Final answer
    x = 30,482.53

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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.