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Finding the Fourth Proportional to 29,543.38, 40,770.35 and 16,114.63

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Solution

The fourth proportional to 29,543.38, 40,770.35 and 16,114.63 is: 22,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.38 : 40,770.35 = 16,114.63 : x
  2. Step 2: Convert to fraction form
    29,543.38/40,770.35 = 16,114.63/x
  3. Step 3: Cross multiply
    29,543.38x = 40,770.35 × 16,114.63
  4. Step 4: Simplify right side
    29,543.38x = 656,999,105.22
  5. Step 5: Solve for x
    x = 656,999,105.22/29,543.38
  6. Step 6: Final answer
    x = 22,238.45

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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.