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Finding the Fourth Proportional to 67,029.81, 100,545.02 and 22,656.80

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Solution

The fourth proportional to 67,029.81, 100,545.02 and 22,656.80 is: 33,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,029.81 : 100,545.02 = 22,656.80 : x
  2. Step 2: Convert to fraction form
    67,029.81/100,545.02 = 22,656.80/x
  3. Step 3: Cross multiply
    67,029.81x = 100,545.02 × 22,656.80
  4. Step 4: Simplify right side
    67,029.81x = 2,278,028,409.14
  5. Step 5: Solve for x
    x = 2,278,028,409.14/67,029.81
  6. Step 6: Final answer
    x = 33,985.30

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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.