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Finding the Fourth Proportional to 60,115, 82,962.54 and 33,619

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Solution

The fourth proportional to 60,115, 82,962.54 and 33,619 is: 46,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,115 : 82,962.54 = 33,619 : x
  2. Step 2: Convert to fraction form
    60,115/82,962.54 = 33,619/x
  3. Step 3: Cross multiply
    60,115x = 82,962.54 × 33,619
  4. Step 4: Simplify right side
    60,115x = 2,789,117,632.26
  5. Step 5: Solve for x
    x = 2,789,117,632.26/60,115
  6. Step 6: Final answer
    x = 46,396.37

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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.