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Finding the Fourth Proportional to 34,668.82, 47,840.25 and 19,565.16

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Solution

The fourth proportional to 34,668.82, 47,840.25 and 19,565.16 is: 26,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668.82 : 47,840.25 = 19,565.16 : x
  2. Step 2: Convert to fraction form
    34,668.82/47,840.25 = 19,565.16/x
  3. Step 3: Cross multiply
    34,668.82x = 47,840.25 × 19,565.16
  4. Step 4: Simplify right side
    34,668.82x = 936,001,906.49
  5. Step 5: Solve for x
    x = 936,001,906.49/34,668.82
  6. Step 6: Final answer
    x = 26,998.38

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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.