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Finding the Fourth Proportional to 64,206.14, 88,604.69 and 35,910

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Solution

The fourth proportional to 64,206.14, 88,604.69 and 35,910 is: 49,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.14 : 88,604.69 = 35,910 : x
  2. Step 2: Convert to fraction form
    64,206.14/88,604.69 = 35,910/x
  3. Step 3: Cross multiply
    64,206.14x = 88,604.69 × 35,910
  4. Step 4: Simplify right side
    64,206.14x = 3,181,794,238.35
  5. Step 5: Solve for x
    x = 3,181,794,238.35/64,206.14
  6. Step 6: Final answer
    x = 49,555.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.