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Finding the Fourth Proportional to 61,134.12, 84,362.04 and 35,982

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Solution

The fourth proportional to 61,134.12, 84,362.04 and 35,982 is: 49,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,134.12 : 84,362.04 = 35,982 : x
  2. Step 2: Convert to fraction form
    61,134.12/84,362.04 = 35,982/x
  3. Step 3: Cross multiply
    61,134.12x = 84,362.04 × 35,982
  4. Step 4: Simplify right side
    61,134.12x = 3,035,514,923.28
  5. Step 5: Solve for x
    x = 3,035,514,923.28/61,134.12
  6. Step 6: Final answer
    x = 49,653.37

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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.