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Finding the Fourth Proportional to 29,543.39, 40,770.35 and 16,114.64

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Solution

The fourth proportional to 29,543.39, 40,770.35 and 16,114.64 is: 22,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.39 : 40,770.35 = 16,114.64 : x
  2. Step 2: Convert to fraction form
    29,543.39/40,770.35 = 16,114.64/x
  3. Step 3: Cross multiply
    29,543.39x = 40,770.35 × 16,114.64
  4. Step 4: Simplify right side
    29,543.39x = 656,999,309.07
  5. Step 5: Solve for x
    x = 656,999,309.07/29,543.39
  6. Step 6: Final answer
    x = 22,238.46

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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.