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Finding the Fourth Proportional to 49,142.61, 67,661.24 and 44,652.92

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Solution

The fourth proportional to 49,142.61, 67,661.24 and 44,652.92 is: 61,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142.61 : 67,661.24 = 44,652.92 : x
  2. Step 2: Convert to fraction form
    49,142.61/67,661.24 = 44,652.92/x
  3. Step 3: Cross multiply
    49,142.61x = 67,661.24 × 44,652.92
  4. Step 4: Simplify right side
    49,142.61x = 3,021,271,375.25
  5. Step 5: Solve for x
    x = 3,021,271,375.25/49,142.61
  6. Step 6: Final answer
    x = 61,479.67

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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.