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Finding the Fourth Proportional to 29,769, 41,081.22 and 16,521

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Solution

The fourth proportional to 29,769, 41,081.22 and 16,521 is: 22,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769 : 41,081.22 = 16,521 : x
  2. Step 2: Convert to fraction form
    29,769/41,081.22 = 16,521/x
  3. Step 3: Cross multiply
    29,769x = 41,081.22 × 16,521
  4. Step 4: Simplify right side
    29,769x = 678,702,835.62
  5. Step 5: Solve for x
    x = 678,702,835.62/29,769
  6. Step 6: Final answer
    x = 22,798.98

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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.