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Finding the Fourth Proportional to 42,216.38, 58,259.57 and 24,308.49

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Solution

The fourth proportional to 42,216.38, 58,259.57 and 24,308.49 is: 33,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,216.38 : 58,259.57 = 24,308.49 : x
  2. Step 2: Convert to fraction form
    42,216.38/58,259.57 = 24,308.49/x
  3. Step 3: Cross multiply
    42,216.38x = 58,259.57 × 24,308.49
  4. Step 4: Simplify right side
    42,216.38x = 1,416,202,053.21
  5. Step 5: Solve for x
    x = 1,416,202,053.21/42,216.38
  6. Step 6: Final answer
    x = 33,546.27

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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.