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Finding the Fourth Proportional to 29,782.54, 41,100.34 and 16,355

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Solution

The fourth proportional to 29,782.54, 41,100.34 and 16,355 is: 22,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.54 : 41,100.34 = 16,355 : x
  2. Step 2: Convert to fraction form
    29,782.54/41,100.34 = 16,355/x
  3. Step 3: Cross multiply
    29,782.54x = 41,100.34 × 16,355
  4. Step 4: Simplify right side
    29,782.54x = 672,196,060.70
  5. Step 5: Solve for x
    x = 672,196,060.70/29,782.54
  6. Step 6: Final answer
    x = 22,570.14

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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.