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Finding the Fourth Proportional to 42,703.74, 58,835.03 and 29,770.88

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Solution

The fourth proportional to 42,703.74, 58,835.03 and 29,770.88 is: 41,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,703.74 : 58,835.03 = 29,770.88 : x
  2. Step 2: Convert to fraction form
    42,703.74/58,835.03 = 29,770.88/x
  3. Step 3: Cross multiply
    42,703.74x = 58,835.03 × 29,770.88
  4. Step 4: Simplify right side
    42,703.74x = 1,751,570,174.90
  5. Step 5: Solve for x
    x = 1,751,570,174.90/42,703.74
  6. Step 6: Final answer
    x = 41,016.79

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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.