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Finding the Fourth Proportional to 61,199.30, 91,793.55 and 16,822.10

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Solution

The fourth proportional to 61,199.30, 91,793.55 and 16,822.10 is: 25,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,199.30 : 91,793.55 = 16,822.10 : x
  2. Step 2: Convert to fraction form
    61,199.30/91,793.55 = 16,822.10/x
  3. Step 3: Cross multiply
    61,199.30x = 91,793.55 × 16,822.10
  4. Step 4: Simplify right side
    61,199.30x = 1,544,160,277.46
  5. Step 5: Solve for x
    x = 1,544,160,277.46/61,199.30
  6. Step 6: Final answer
    x = 25,231.67

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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.