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Finding the Fourth Proportional to 67,442.84, 101,164.19 and 20,057.74

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Solution

The fourth proportional to 67,442.84, 101,164.19 and 20,057.74 is: 30,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,442.84 : 101,164.19 = 20,057.74 : x
  2. Step 2: Convert to fraction form
    67,442.84/101,164.19 = 20,057.74/x
  3. Step 3: Cross multiply
    67,442.84x = 101,164.19 × 20,057.74
  4. Step 4: Simplify right side
    67,442.84x = 2,029,124,779.96
  5. Step 5: Solve for x
    x = 2,029,124,779.96/67,442.84
  6. Step 6: Final answer
    x = 30,086.59

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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.