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Finding the Fourth Proportional to 29,978.37, 41,370.49 and 16,549.64

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Solution

The fourth proportional to 29,978.37, 41,370.49 and 16,549.64 is: 22,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.37 : 41,370.49 = 16,549.64 : x
  2. Step 2: Convert to fraction form
    29,978.37/41,370.49 = 16,549.64/x
  3. Step 3: Cross multiply
    29,978.37x = 41,370.49 × 16,549.64
  4. Step 4: Simplify right side
    29,978.37x = 684,666,509.27
  5. Step 5: Solve for x
    x = 684,666,509.27/29,978.37
  6. Step 6: Final answer
    x = 22,838.68

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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.