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Finding the Fourth Proportional to 96,795, 145,197.97 and 34,465.50

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Solution

The fourth proportional to 96,795, 145,197.97 and 34,465.50 is: 51,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,795 : 145,197.97 = 34,465.50 : x
  2. Step 2: Convert to fraction form
    96,795/145,197.97 = 34,465.50/x
  3. Step 3: Cross multiply
    96,795x = 145,197.97 × 34,465.50
  4. Step 4: Simplify right side
    96,795x = 5,004,320,548.87
  5. Step 5: Solve for x
    x = 5,004,320,548.87/96,795
  6. Step 6: Final answer
    x = 51,700.20

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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.