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Finding the Fourth Proportional to 38,802.36, 53,546.94 and 22,035

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Solution

The fourth proportional to 38,802.36, 53,546.94 and 22,035 is: 30,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,802.36 : 53,546.94 = 22,035 : x
  2. Step 2: Convert to fraction form
    38,802.36/53,546.94 = 22,035/x
  3. Step 3: Cross multiply
    38,802.36x = 53,546.94 × 22,035
  4. Step 4: Simplify right side
    38,802.36x = 1,179,906,822.90
  5. Step 5: Solve for x
    x = 1,179,906,822.90/38,802.36
  6. Step 6: Final answer
    x = 30,408.12

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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.