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Finding the Fourth Proportional to 64,816.50, 97,221.50 and 25,380.84

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Solution

The fourth proportional to 64,816.50, 97,221.50 and 25,380.84 is: 38,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,816.50 : 97,221.50 = 25,380.84 : x
  2. Step 2: Convert to fraction form
    64,816.50/97,221.50 = 25,380.84/x
  3. Step 3: Cross multiply
    64,816.50x = 97,221.50 × 25,380.84
  4. Step 4: Simplify right side
    64,816.50x = 2,467,563,336.06
  5. Step 5: Solve for x
    x = 2,467,563,336.06/64,816.50
  6. Step 6: Final answer
    x = 38,069.99

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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.