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Finding the Fourth Proportional to 73,282.50, 109,923.84 and 17,878.50

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Solution

The fourth proportional to 73,282.50, 109,923.84 and 17,878.50 is: 26,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,282.50 : 109,923.84 = 17,878.50 : x
  2. Step 2: Convert to fraction form
    73,282.50/109,923.84 = 17,878.50/x
  3. Step 3: Cross multiply
    73,282.50x = 109,923.84 × 17,878.50
  4. Step 4: Simplify right side
    73,282.50x = 1,965,273,373.44
  5. Step 5: Solve for x
    x = 1,965,273,373.44/73,282.50
  6. Step 6: Final answer
    x = 26,817.77

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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.