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Finding the Fourth Proportional to 72,145.84, 108,230.40 and 22,225.94

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Solution

The fourth proportional to 72,145.84, 108,230.40 and 22,225.94 is: 33,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,145.84 : 108,230.40 = 22,225.94 : x
  2. Step 2: Convert to fraction form
    72,145.84/108,230.40 = 22,225.94/x
  3. Step 3: Cross multiply
    72,145.84x = 108,230.40 × 22,225.94
  4. Step 4: Simplify right side
    72,145.84x = 2,405,522,376.58
  5. Step 5: Solve for x
    x = 2,405,522,376.58/72,145.84
  6. Step 6: Final answer
    x = 33,342.50

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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.