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Finding the Fourth Proportional to 64,771.20, 97,180.16 and 22,657.60

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Solution

The fourth proportional to 64,771.20, 97,180.16 and 22,657.60 is: 33,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,771.20 : 97,180.16 = 22,657.60 : x
  2. Step 2: Convert to fraction form
    64,771.20/97,180.16 = 22,657.60/x
  3. Step 3: Cross multiply
    64,771.20x = 97,180.16 × 22,657.60
  4. Step 4: Simplify right side
    64,771.20x = 2,201,869,193.22
  5. Step 5: Solve for x
    x = 2,201,869,193.22/64,771.20
  6. Step 6: Final answer
    x = 33,994.57

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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.