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Finding the Fourth Proportional to 65,219.76, 97,771.32 and 31,919.04

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Solution

The fourth proportional to 65,219.76, 97,771.32 and 31,919.04 is: 47,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.76 : 97,771.32 = 31,919.04 : x
  2. Step 2: Convert to fraction form
    65,219.76/97,771.32 = 31,919.04/x
  3. Step 3: Cross multiply
    65,219.76x = 97,771.32 × 31,919.04
  4. Step 4: Simplify right side
    65,219.76x = 3,120,766,673.93
  5. Step 5: Solve for x
    x = 3,120,766,673.93/65,219.76
  6. Step 6: Final answer
    x = 47,850.02

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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.