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Finding the Fourth Proportional to 64,782.25, 97,151.64 and 24,791.91

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Solution

The fourth proportional to 64,782.25, 97,151.64 and 24,791.91 is: 37,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,782.25 : 97,151.64 = 24,791.91 : x
  2. Step 2: Convert to fraction form
    64,782.25/97,151.64 = 24,791.91/x
  3. Step 3: Cross multiply
    64,782.25x = 97,151.64 × 24,791.91
  4. Step 4: Simplify right side
    64,782.25x = 2,408,574,257.94
  5. Step 5: Solve for x
    x = 2,408,574,257.94/64,782.25
  6. Step 6: Final answer
    x = 37,179.54

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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.