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Finding the Fourth Proportional to 42,072.98, 58,066.97 and 27,730.62

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Solution

The fourth proportional to 42,072.98, 58,066.97 and 27,730.62 is: 38,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,072.98 : 58,066.97 = 27,730.62 : x
  2. Step 2: Convert to fraction form
    42,072.98/58,066.97 = 27,730.62/x
  3. Step 3: Cross multiply
    42,072.98x = 58,066.97 × 27,730.62
  4. Step 4: Simplify right side
    42,072.98x = 1,610,233,079.62
  5. Step 5: Solve for x
    x = 1,610,233,079.62/42,072.98
  6. Step 6: Final answer
    x = 38,272.38

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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.