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Finding the Fourth Proportional to 38,911.98, 53,698.59 and 23,004.30

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Solution

The fourth proportional to 38,911.98, 53,698.59 and 23,004.30 is: 31,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,911.98 : 53,698.59 = 23,004.30 : x
  2. Step 2: Convert to fraction form
    38,911.98/53,698.59 = 23,004.30/x
  3. Step 3: Cross multiply
    38,911.98x = 53,698.59 × 23,004.30
  4. Step 4: Simplify right side
    38,911.98x = 1,235,298,473.94
  5. Step 5: Solve for x
    x = 1,235,298,473.94/38,911.98
  6. Step 6: Final answer
    x = 31,745.97

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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.