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Finding the Fourth Proportional to 71,124.86, 106,739.91 and 33,685.00

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Solution

The fourth proportional to 71,124.86, 106,739.91 and 33,685.00 is: 50,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,124.86 : 106,739.91 = 33,685.00 : x
  2. Step 2: Convert to fraction form
    71,124.86/106,739.91 = 33,685.00/x
  3. Step 3: Cross multiply
    71,124.86x = 106,739.91 × 33,685.00
  4. Step 4: Simplify right side
    71,124.86x = 3,595,533,907.40
  5. Step 5: Solve for x
    x = 3,595,533,907.40/71,124.86
  6. Step 6: Final answer
    x = 50,552.42

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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.