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Finding the Fourth Proportional to 72,154.86, 108,246.47 and 22,226.46

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Solution

The fourth proportional to 72,154.86, 108,246.47 and 22,226.46 is: 33,344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,154.86 : 108,246.47 = 22,226.46 : x
  2. Step 2: Convert to fraction form
    72,154.86/108,246.47 = 22,226.46/x
  3. Step 3: Cross multiply
    72,154.86x = 108,246.47 × 22,226.46
  4. Step 4: Simplify right side
    72,154.86x = 2,405,935,724.46
  5. Step 5: Solve for x
    x = 2,405,935,724.46/72,154.86
  6. Step 6: Final answer
    x = 33,344.06

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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.