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Finding the Fourth Proportional to 42,070.98, 58,064.21 and 27,728.62

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Solution

The fourth proportional to 42,070.98, 58,064.21 and 27,728.62 is: 38,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,070.98 : 58,064.21 = 27,728.62 : x
  2. Step 2: Convert to fraction form
    42,070.98/58,064.21 = 27,728.62/x
  3. Step 3: Cross multiply
    42,070.98x = 58,064.21 × 27,728.62
  4. Step 4: Simplify right side
    42,070.98x = 1,610,040,414.69
  5. Step 5: Solve for x
    x = 1,610,040,414.69/42,070.98
  6. Step 6: Final answer
    x = 38,269.62

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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.