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Finding the Fourth Proportional to 64,165.40, 96,255.30 and 19,791.80

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Solution

The fourth proportional to 64,165.40, 96,255.30 and 19,791.80 is: 29,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,165.40 : 96,255.30 = 19,791.80 : x
  2. Step 2: Convert to fraction form
    64,165.40/96,255.30 = 19,791.80/x
  3. Step 3: Cross multiply
    64,165.40x = 96,255.30 × 19,791.80
  4. Step 4: Simplify right side
    64,165.40x = 1,905,065,646.54
  5. Step 5: Solve for x
    x = 1,905,065,646.54/64,165.40
  6. Step 6: Final answer
    x = 29,689.92

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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.