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Finding the Fourth Proportional to 55,507.74, 83,222.67 and 20,442.90

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Solution

The fourth proportional to 55,507.74, 83,222.67 and 20,442.90 is: 30,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,507.74 : 83,222.67 = 20,442.90 : x
  2. Step 2: Convert to fraction form
    55,507.74/83,222.67 = 20,442.90/x
  3. Step 3: Cross multiply
    55,507.74x = 83,222.67 × 20,442.90
  4. Step 4: Simplify right side
    55,507.74x = 1,701,312,720.54
  5. Step 5: Solve for x
    x = 1,701,312,720.54/55,507.74
  6. Step 6: Final answer
    x = 30,650.01

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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.