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Finding the Fourth Proportional to 34,845.60, 48,091.05 and 20,698.50

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Solution

The fourth proportional to 34,845.60, 48,091.05 and 20,698.50 is: 28,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,845.60 : 48,091.05 = 20,698.50 : x
  2. Step 2: Convert to fraction form
    34,845.60/48,091.05 = 20,698.50/x
  3. Step 3: Cross multiply
    34,845.60x = 48,091.05 × 20,698.50
  4. Step 4: Simplify right side
    34,845.60x = 995,412,598.43
  5. Step 5: Solve for x
    x = 995,412,598.43/34,845.60
  6. Step 6: Final answer
    x = 28,566.38

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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.