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Finding the Fourth Proportional to 30,138.91, 41,590.03 and 16,709.38

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Solution

The fourth proportional to 30,138.91, 41,590.03 and 16,709.38 is: 23,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.91 : 41,590.03 = 16,709.38 : x
  2. Step 2: Convert to fraction form
    30,138.91/41,590.03 = 16,709.38/x
  3. Step 3: Cross multiply
    30,138.91x = 41,590.03 × 16,709.38
  4. Step 4: Simplify right side
    30,138.91x = 694,943,615.48
  5. Step 5: Solve for x
    x = 694,943,615.48/30,138.91
  6. Step 6: Final answer
    x = 23,058.02

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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.