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Finding the Fourth Proportional to 42,065.56, 58,048.38 and 23,202.20

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Solution

The fourth proportional to 42,065.56, 58,048.38 and 23,202.20 is: 32,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,065.56 : 58,048.38 = 23,202.20 : x
  2. Step 2: Convert to fraction form
    42,065.56/58,048.38 = 23,202.20/x
  3. Step 3: Cross multiply
    42,065.56x = 58,048.38 × 23,202.20
  4. Step 4: Simplify right side
    42,065.56x = 1,346,850,122.44
  5. Step 5: Solve for x
    x = 1,346,850,122.44/42,065.56
  6. Step 6: Final answer
    x = 32,017.88

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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.