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Finding the Fourth Proportional to 38,467.90, 53,064.38 and 22,549.27

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Solution

The fourth proportional to 38,467.90, 53,064.38 and 22,549.27 is: 31,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467.90 : 53,064.38 = 22,549.27 : x
  2. Step 2: Convert to fraction form
    38,467.90/53,064.38 = 22,549.27/x
  3. Step 3: Cross multiply
    38,467.90x = 53,064.38 × 22,549.27
  4. Step 4: Simplify right side
    38,467.90x = 1,196,563,032.00
  5. Step 5: Solve for x
    x = 1,196,563,032.00/38,467.90
  6. Step 6: Final answer
    x = 31,105.49

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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.