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Finding the Fourth Proportional to 38,814, 53,563.32 and 22,050.24

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Solution

The fourth proportional to 38,814, 53,563.32 and 22,050.24 is: 30,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,814 : 53,563.32 = 22,050.24 : x
  2. Step 2: Convert to fraction form
    38,814/53,563.32 = 22,050.24/x
  3. Step 3: Cross multiply
    38,814x = 53,563.32 × 22,050.24
  4. Step 4: Simplify right side
    38,814x = 1,181,084,061.20
  5. Step 5: Solve for x
    x = 1,181,084,061.20/38,814
  6. Step 6: Final answer
    x = 30,429.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.