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Finding the Fourth Proportional to 67,054.56, 100,582.44 and 22,681.56

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Solution

The fourth proportional to 67,054.56, 100,582.44 and 22,681.56 is: 34,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,054.56 : 100,582.44 = 22,681.56 : x
  2. Step 2: Convert to fraction form
    67,054.56/100,582.44 = 22,681.56/x
  3. Step 3: Cross multiply
    67,054.56x = 100,582.44 × 22,681.56
  4. Step 4: Simplify right side
    67,054.56x = 2,281,366,647.81
  5. Step 5: Solve for x
    x = 2,281,366,647.81/67,054.56
  6. Step 6: Final answer
    x = 34,022.54

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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.