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Finding the Fourth Proportional to 73,878.62, 110,817.93 and 18,474.62

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Solution

The fourth proportional to 73,878.62, 110,817.93 and 18,474.62 is: 27,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878.62 : 110,817.93 = 18,474.62 : x
  2. Step 2: Convert to fraction form
    73,878.62/110,817.93 = 18,474.62/x
  3. Step 3: Cross multiply
    73,878.62x = 110,817.93 × 18,474.62
  4. Step 4: Simplify right side
    73,878.62x = 2,047,319,145.94
  5. Step 5: Solve for x
    x = 2,047,319,145.94/73,878.62
  6. Step 6: Final answer
    x = 27,711.93

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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.