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Finding the Fourth Proportional to 49,058.76, 67,710.42 and 27,840

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Solution

The fourth proportional to 49,058.76, 67,710.42 and 27,840 is: 38,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,058.76 : 67,710.42 = 27,840 : x
  2. Step 2: Convert to fraction form
    49,058.76/67,710.42 = 27,840/x
  3. Step 3: Cross multiply
    49,058.76x = 67,710.42 × 27,840
  4. Step 4: Simplify right side
    49,058.76x = 1,885,058,092.80
  5. Step 5: Solve for x
    x = 1,885,058,092.80/49,058.76
  6. Step 6: Final answer
    x = 38,424.50

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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.