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Finding the Fourth Proportional to 60,080, 82,910.44 and 33,584

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Solution

The fourth proportional to 60,080, 82,910.44 and 33,584 is: 46,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,080 : 82,910.44 = 33,584 : x
  2. Step 2: Convert to fraction form
    60,080/82,910.44 = 33,584/x
  3. Step 3: Cross multiply
    60,080x = 82,910.44 × 33,584
  4. Step 4: Simplify right side
    60,080x = 2,784,464,216.96
  5. Step 5: Solve for x
    x = 2,784,464,216.96/60,080
  6. Step 6: Final answer
    x = 46,345.94

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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.