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Finding the Fourth Proportional to 71,289.69, 98,384.36 and 41,074.47

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Solution

The fourth proportional to 71,289.69, 98,384.36 and 41,074.47 is: 56,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,289.69 : 98,384.36 = 41,074.47 : x
  2. Step 2: Convert to fraction form
    71,289.69/98,384.36 = 41,074.47/x
  3. Step 3: Cross multiply
    71,289.69x = 98,384.36 × 41,074.47
  4. Step 4: Simplify right side
    71,289.69x = 4,041,085,237.92
  5. Step 5: Solve for x
    x = 4,041,085,237.92/71,289.69
  6. Step 6: Final answer
    x = 56,685.41

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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.