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Finding the Fourth Proportional to 42,138.77, 58,137.55 and 27,805.71

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Solution

The fourth proportional to 42,138.77, 58,137.55 and 27,805.71 is: 38,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.77 : 58,137.55 = 27,805.71 : x
  2. Step 2: Convert to fraction form
    42,138.77/58,137.55 = 27,805.71/x
  3. Step 3: Cross multiply
    42,138.77x = 58,137.55 × 27,805.71
  4. Step 4: Simplify right side
    42,138.77x = 1,616,556,003.91
  5. Step 5: Solve for x
    x = 1,616,556,003.91/42,138.77
  6. Step 6: Final answer
    x = 38,362.68

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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.