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Finding the Fourth Proportional to 29,827.86, 41,162.49 and 16,399.35

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Solution

The fourth proportional to 29,827.86, 41,162.49 and 16,399.35 is: 22,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.86 : 41,162.49 = 16,399.35 : x
  2. Step 2: Convert to fraction form
    29,827.86/41,162.49 = 16,399.35/x
  3. Step 3: Cross multiply
    29,827.86x = 41,162.49 × 16,399.35
  4. Step 4: Simplify right side
    29,827.86x = 675,038,080.38
  5. Step 5: Solve for x
    x = 675,038,080.38/29,827.86
  6. Step 6: Final answer
    x = 22,631.13

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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.