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Finding the Fourth Proportional to 60,297, 83,209.86 and 33,801

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Solution

The fourth proportional to 60,297, 83,209.86 and 33,801 is: 46,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,297 : 83,209.86 = 33,801 : x
  2. Step 2: Convert to fraction form
    60,297/83,209.86 = 33,801/x
  3. Step 3: Cross multiply
    60,297x = 83,209.86 × 33,801
  4. Step 4: Simplify right side
    60,297x = 2,812,576,477.86
  5. Step 5: Solve for x
    x = 2,812,576,477.86/60,297
  6. Step 6: Final answer
    x = 46,645.38

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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.