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Finding the Fourth Proportional to 71,464.68, 98,619.53 and 39,199.73

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Solution

The fourth proportional to 71,464.68, 98,619.53 and 39,199.73 is: 54,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464.68 : 98,619.53 = 39,199.73 : x
  2. Step 2: Convert to fraction form
    71,464.68/98,619.53 = 39,199.73/x
  3. Step 3: Cross multiply
    71,464.68x = 98,619.53 × 39,199.73
  4. Step 4: Simplify right side
    71,464.68x = 3,865,858,259.63
  5. Step 5: Solve for x
    x = 3,865,858,259.63/71,464.68
  6. Step 6: Final answer
    x = 54,094.67

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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.