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Finding the Fourth Proportional to 29,765.10, 41,074.52 and 16,336.38

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Solution

The fourth proportional to 29,765.10, 41,074.52 and 16,336.38 is: 22,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.10 : 41,074.52 = 16,336.38 : x
  2. Step 2: Convert to fraction form
    29,765.10/41,074.52 = 16,336.38/x
  3. Step 3: Cross multiply
    29,765.10x = 41,074.52 × 16,336.38
  4. Step 4: Simplify right side
    29,765.10x = 671,008,885.36
  5. Step 5: Solve for x
    x = 671,008,885.36/29,765.10
  6. Step 6: Final answer
    x = 22,543.48

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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.