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Finding the Fourth Proportional to 98,893.85, 148,420.49 and 51,523.43

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Solution

The fourth proportional to 98,893.85, 148,420.49 and 51,523.43 is: 77,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,893.85 : 148,420.49 = 51,523.43 : x
  2. Step 2: Convert to fraction form
    98,893.85/148,420.49 = 51,523.43/x
  3. Step 3: Cross multiply
    98,893.85x = 148,420.49 × 51,523.43
  4. Step 4: Simplify right side
    98,893.85x = 7,647,131,727.36
  5. Step 5: Solve for x
    x = 7,647,131,727.36/98,893.85
  6. Step 6: Final answer
    x = 77,326.67

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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.