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Finding the Fourth Proportional to 72,008, 108,007.44 and 22,084.16

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Solution

The fourth proportional to 72,008, 108,007.44 and 22,084.16 is: 33,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,008 : 108,007.44 = 22,084.16 : x
  2. Step 2: Convert to fraction form
    72,008/108,007.44 = 22,084.16/x
  3. Step 3: Cross multiply
    72,008x = 108,007.44 × 22,084.16
  4. Step 4: Simplify right side
    72,008x = 2,385,253,586.15
  5. Step 5: Solve for x
    x = 2,385,253,586.15/72,008
  6. Step 6: Final answer
    x = 33,124.84

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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.