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Finding the Fourth Proportional to 55,507.99, 83,223.04 and 20,443.15

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Solution

The fourth proportional to 55,507.99, 83,223.04 and 20,443.15 is: 30,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,507.99 : 83,223.04 = 20,443.15 : x
  2. Step 2: Convert to fraction form
    55,507.99/83,223.04 = 20,443.15/x
  3. Step 3: Cross multiply
    55,507.99x = 83,223.04 × 20,443.15
  4. Step 4: Simplify right side
    55,507.99x = 1,701,341,090.18
  5. Step 5: Solve for x
    x = 1,701,341,090.18/55,507.99
  6. Step 6: Final answer
    x = 30,650.38

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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.