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Finding the Fourth Proportional to 47,074.50, 70,620.48 and 15,486.30

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Solution

The fourth proportional to 47,074.50, 70,620.48 and 15,486.30 is: 23,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,074.50 : 70,620.48 = 15,486.30 : x
  2. Step 2: Convert to fraction form
    47,074.50/70,620.48 = 15,486.30/x
  3. Step 3: Cross multiply
    47,074.50x = 70,620.48 × 15,486.30
  4. Step 4: Simplify right side
    47,074.50x = 1,093,649,939.42
  5. Step 5: Solve for x
    x = 1,093,649,939.42/47,074.50
  6. Step 6: Final answer
    x = 23,232.32

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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.