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Finding the Fourth Proportional to 65,212.86, 97,779.93 and 35,589.54

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Solution

The fourth proportional to 65,212.86, 97,779.93 and 35,589.54 is: 53,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.86 : 97,779.93 = 35,589.54 : x
  2. Step 2: Convert to fraction form
    65,212.86/97,779.93 = 35,589.54/x
  3. Step 3: Cross multiply
    65,212.86x = 97,779.93 × 35,589.54
  4. Step 4: Simplify right side
    65,212.86x = 3,479,942,729.93
  5. Step 5: Solve for x
    x = 3,479,942,729.93/65,212.86
  6. Step 6: Final answer
    x = 53,362.83

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Why These Related Problems?

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