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Finding the Fourth Proportional to 71,409.92, 98,544 and 41,600

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Solution

The fourth proportional to 71,409.92, 98,544 and 41,600 is: 57,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.92 : 98,544 = 41,600 : x
  2. Step 2: Convert to fraction form
    71,409.92/98,544 = 41,600/x
  3. Step 3: Cross multiply
    71,409.92x = 98,544 × 41,600
  4. Step 4: Simplify right side
    71,409.92x = 4,099,430,400
  5. Step 5: Solve for x
    x = 4,099,430,400/71,409.92
  6. Step 6: Final answer
    x = 57,407.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.