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Finding the Fourth Proportional to 65,849.23, 90,871.24 and 35,633.89

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Solution

The fourth proportional to 65,849.23, 90,871.24 and 35,633.89 is: 49,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,849.23 : 90,871.24 = 35,633.89 : x
  2. Step 2: Convert to fraction form
    65,849.23/90,871.24 = 35,633.89/x
  3. Step 3: Cross multiply
    65,849.23x = 90,871.24 × 35,633.89
  4. Step 4: Simplify right side
    65,849.23x = 3,238,095,770.32
  5. Step 5: Solve for x
    x = 3,238,095,770.32/65,849.23
  6. Step 6: Final answer
    x = 49,174.39

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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.