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Finding the Fourth Proportional to 100,894.92, 151,341 and 34,381.41

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Solution

The fourth proportional to 100,894.92, 151,341 and 34,381.41 is: 51,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,894.92 : 151,341 = 34,381.41 : x
  2. Step 2: Convert to fraction form
    100,894.92/151,341 = 34,381.41/x
  3. Step 3: Cross multiply
    100,894.92x = 151,341 × 34,381.41
  4. Step 4: Simplify right side
    100,894.92x = 5,203,316,970.81
  5. Step 5: Solve for x
    x = 5,203,316,970.81/100,894.92
  6. Step 6: Final answer
    x = 51,571.64

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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.