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Finding the Fourth Proportional to 29,978.83, 41,369.70 and 16,549.80

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Solution

The fourth proportional to 29,978.83, 41,369.70 and 16,549.80 is: 22,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.83 : 41,369.70 = 16,549.80 : x
  2. Step 2: Convert to fraction form
    29,978.83/41,369.70 = 16,549.80/x
  3. Step 3: Cross multiply
    29,978.83x = 41,369.70 × 16,549.80
  4. Step 4: Simplify right side
    29,978.83x = 684,660,054.21
  5. Step 5: Solve for x
    x = 684,660,054.21/29,978.83
  6. Step 6: Final answer
    x = 22,838.12

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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.