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Finding the Fourth Proportional to 61,205.76, 91,704.96 and 48,764.16

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Solution

The fourth proportional to 61,205.76, 91,704.96 and 48,764.16 is: 73,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205.76 : 91,704.96 = 48,764.16 : x
  2. Step 2: Convert to fraction form
    61,205.76/91,704.96 = 48,764.16/x
  3. Step 3: Cross multiply
    61,205.76x = 91,704.96 × 48,764.16
  4. Step 4: Simplify right side
    61,205.76x = 4,471,915,342.23
  5. Step 5: Solve for x
    x = 4,471,915,342.23/61,205.76
  6. Step 6: Final answer
    x = 73,063.64

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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.