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Finding the Fourth Proportional to 67,758.81, 101,647.55 and 22,783.65

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Solution

The fourth proportional to 67,758.81, 101,647.55 and 22,783.65 is: 34,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,758.81 : 101,647.55 = 22,783.65 : x
  2. Step 2: Convert to fraction form
    67,758.81/101,647.55 = 22,783.65/x
  3. Step 3: Cross multiply
    67,758.81x = 101,647.55 × 22,783.65
  4. Step 4: Simplify right side
    67,758.81x = 2,315,902,088.64
  5. Step 5: Solve for x
    x = 2,315,902,088.64/67,758.81
  6. Step 6: Final answer
    x = 34,178.61

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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.