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Finding the Fourth Proportional to 29,597.36, 40,843.67 and 16,168.67

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Solution

The fourth proportional to 29,597.36, 40,843.67 and 16,168.67 is: 22,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597.36 : 40,843.67 = 16,168.67 : x
  2. Step 2: Convert to fraction form
    29,597.36/40,843.67 = 16,168.67/x
  3. Step 3: Cross multiply
    29,597.36x = 40,843.67 × 16,168.67
  4. Step 4: Simplify right side
    29,597.36x = 660,387,658.02
  5. Step 5: Solve for x
    x = 660,387,658.02/29,597.36
  6. Step 6: Final answer
    x = 22,312.39

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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.