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Finding the Fourth Proportional to 35,901.96, 49,546.34 and 19,987.42

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Solution

The fourth proportional to 35,901.96, 49,546.34 and 19,987.42 is: 27,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,901.96 : 49,546.34 = 19,987.42 : x
  2. Step 2: Convert to fraction form
    35,901.96/49,546.34 = 19,987.42/x
  3. Step 3: Cross multiply
    35,901.96x = 49,546.34 × 19,987.42
  4. Step 4: Simplify right side
    35,901.96x = 990,303,507.04
  5. Step 5: Solve for x
    x = 990,303,507.04/35,901.96
  6. Step 6: Final answer
    x = 27,583.55

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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.