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Finding the Fourth Proportional to 100,532.75, 150,802.76 and 29,442.49

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Solution

The fourth proportional to 100,532.75, 150,802.76 and 29,442.49 is: 44,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,532.75 : 150,802.76 = 29,442.49 : x
  2. Step 2: Convert to fraction form
    100,532.75/150,802.76 = 29,442.49/x
  3. Step 3: Cross multiply
    100,532.75x = 150,802.76 × 29,442.49
  4. Step 4: Simplify right side
    100,532.75x = 4,440,008,449.87
  5. Step 5: Solve for x
    x = 4,440,008,449.87/100,532.75
  6. Step 6: Final answer
    x = 44,164.80

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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.