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Finding the Fourth Proportional to 64,196.20, 96,294.30 and 16,811.20

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Solution

The fourth proportional to 64,196.20, 96,294.30 and 16,811.20 is: 25,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196.20 : 96,294.30 = 16,811.20 : x
  2. Step 2: Convert to fraction form
    64,196.20/96,294.30 = 16,811.20/x
  3. Step 3: Cross multiply
    64,196.20x = 96,294.30 × 16,811.20
  4. Step 4: Simplify right side
    64,196.20x = 1,618,822,736.16
  5. Step 5: Solve for x
    x = 1,618,822,736.16/64,196.20
  6. Step 6: Final answer
    x = 25,216.80

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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.