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Finding the Fourth Proportional to 64,271.74, 96,239.94 and 51,723.22

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Solution

The fourth proportional to 64,271.74, 96,239.94 and 51,723.22 is: 77,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,271.74 : 96,239.94 = 51,723.22 : x
  2. Step 2: Convert to fraction form
    64,271.74/96,239.94 = 51,723.22/x
  3. Step 3: Cross multiply
    64,271.74x = 96,239.94 × 51,723.22
  4. Step 4: Simplify right side
    64,271.74x = 4,977,839,589.41
  5. Step 5: Solve for x
    x = 4,977,839,589.41/64,271.74
  6. Step 6: Final answer
    x = 77,449.90

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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.