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Finding the Fourth Proportional to 38,462.36, 53,078.55 and 22,542.80

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Solution

The fourth proportional to 38,462.36, 53,078.55 and 22,542.80 is: 31,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.36 : 53,078.55 = 22,542.80 : x
  2. Step 2: Convert to fraction form
    38,462.36/53,078.55 = 22,542.80/x
  3. Step 3: Cross multiply
    38,462.36x = 53,078.55 × 22,542.80
  4. Step 4: Simplify right side
    38,462.36x = 1,196,539,136.94
  5. Step 5: Solve for x
    x = 1,196,539,136.94/38,462.36
  6. Step 6: Final answer
    x = 31,109.35

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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.