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Finding the Fourth Proportional to 42,204.38, 58,242.98 and 24,296.49

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Solution

The fourth proportional to 42,204.38, 58,242.98 and 24,296.49 is: 33,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,204.38 : 58,242.98 = 24,296.49 : x
  2. Step 2: Convert to fraction form
    42,204.38/58,242.98 = 24,296.49/x
  3. Step 3: Cross multiply
    42,204.38x = 58,242.98 × 24,296.49
  4. Step 4: Simplify right side
    42,204.38x = 1,415,100,041.88
  5. Step 5: Solve for x
    x = 1,415,100,041.88/42,204.38
  6. Step 6: Final answer
    x = 33,529.70

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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.