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Finding the Fourth Proportional to 65,049.10, 97,573.66 and 20,675.86

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Solution

The fourth proportional to 65,049.10, 97,573.66 and 20,675.86 is: 31,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049.10 : 97,573.66 = 20,675.86 : x
  2. Step 2: Convert to fraction form
    65,049.10/97,573.66 = 20,675.86/x
  3. Step 3: Cross multiply
    65,049.10x = 97,573.66 × 20,675.86
  4. Step 4: Simplify right side
    65,049.10x = 2,017,419,038.22
  5. Step 5: Solve for x
    x = 2,017,419,038.22/65,049.10
  6. Step 6: Final answer
    x = 31,013.79

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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.