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Finding the Fourth Proportional to 64,195.93, 96,309.69 and 24,755.82

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Solution

The fourth proportional to 64,195.93, 96,309.69 and 24,755.82 is: 37,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,195.93 : 96,309.69 = 24,755.82 : x
  2. Step 2: Convert to fraction form
    64,195.93/96,309.69 = 24,755.82/x
  3. Step 3: Cross multiply
    64,195.93x = 96,309.69 × 24,755.82
  4. Step 4: Simplify right side
    64,195.93x = 2,384,225,349.90
  5. Step 5: Solve for x
    x = 2,384,225,349.90/64,195.93
  6. Step 6: Final answer
    x = 37,139.82

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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.