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Finding the Fourth Proportional to 65,004.50, 97,433.04 and 29,871.56

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Solution

The fourth proportional to 65,004.50, 97,433.04 and 29,871.56 is: 44,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.50 : 97,433.04 = 29,871.56 : x
  2. Step 2: Convert to fraction form
    65,004.50/97,433.04 = 29,871.56/x
  3. Step 3: Cross multiply
    65,004.50x = 97,433.04 × 29,871.56
  4. Step 4: Simplify right side
    65,004.50x = 2,910,476,900.34
  5. Step 5: Solve for x
    x = 2,910,476,900.34/65,004.50
  6. Step 6: Final answer
    x = 44,773.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.