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Finding the Fourth Proportional to 67,457.31, 101,185.47 and 22,482.09

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Solution

The fourth proportional to 67,457.31, 101,185.47 and 22,482.09 is: 33,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,457.31 : 101,185.47 = 22,482.09 : x
  2. Step 2: Convert to fraction form
    67,457.31/101,185.47 = 22,482.09/x
  3. Step 3: Cross multiply
    67,457.31x = 101,185.47 × 22,482.09
  4. Step 4: Simplify right side
    67,457.31x = 2,274,860,843.23
  5. Step 5: Solve for x
    x = 2,274,860,843.23/67,457.31
  6. Step 6: Final answer
    x = 33,722.97

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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.