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Finding the Fourth Proportional to 49,802.34, 68,726.34 and 27,141.20

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Solution

The fourth proportional to 49,802.34, 68,726.34 and 27,141.20 is: 37,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,802.34 : 68,726.34 = 27,141.20 : x
  2. Step 2: Convert to fraction form
    49,802.34/68,726.34 = 27,141.20/x
  3. Step 3: Cross multiply
    49,802.34x = 68,726.34 × 27,141.20
  4. Step 4: Simplify right side
    49,802.34x = 1,865,314,995.58
  5. Step 5: Solve for x
    x = 1,865,314,995.58/49,802.34
  6. Step 6: Final answer
    x = 37,454.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.