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Finding the Fourth Proportional to 49,074.88, 67,784.32 and 48,337.60

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Solution

The fourth proportional to 49,074.88, 67,784.32 and 48,337.60 is: 66,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,074.88 : 67,784.32 = 48,337.60 : x
  2. Step 2: Convert to fraction form
    49,074.88/67,784.32 = 48,337.60/x
  3. Step 3: Cross multiply
    49,074.88x = 67,784.32 × 48,337.60
  4. Step 4: Simplify right side
    49,074.88x = 3,276,531,346.43
  5. Step 5: Solve for x
    x = 3,276,531,346.43/49,074.88
  6. Step 6: Final answer
    x = 66,765.96

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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.