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Finding the Fourth Proportional to 97,884.45, 146,803.86 and 47,914.47

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Solution

The fourth proportional to 97,884.45, 146,803.86 and 47,914.47 is: 71,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884.45 : 146,803.86 = 47,914.47 : x
  2. Step 2: Convert to fraction form
    97,884.45/146,803.86 = 47,914.47/x
  3. Step 3: Cross multiply
    97,884.45x = 146,803.86 × 47,914.47
  4. Step 4: Simplify right side
    97,884.45x = 7,034,029,145.85
  5. Step 5: Solve for x
    x = 7,034,029,145.85/97,884.45
  6. Step 6: Final answer
    x = 71,860.54

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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.