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Finding the Fourth Proportional to 35,998.75, 49,678.28 and 20,083.20

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Solution

The fourth proportional to 35,998.75, 49,678.28 and 20,083.20 is: 27,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,998.75 : 49,678.28 = 20,083.20 : x
  2. Step 2: Convert to fraction form
    35,998.75/49,678.28 = 20,083.20/x
  3. Step 3: Cross multiply
    35,998.75x = 49,678.28 × 20,083.20
  4. Step 4: Simplify right side
    35,998.75x = 997,698,832.90
  5. Step 5: Solve for x
    x = 997,698,832.90/35,998.75
  6. Step 6: Final answer
    x = 27,714.82

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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.