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Finding the Fourth Proportional to 65,504, 98,256.16 and 16,256

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Solution

The fourth proportional to 65,504, 98,256.16 and 16,256 is: 24,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,504 : 98,256.16 = 16,256 : x
  2. Step 2: Convert to fraction form
    65,504/98,256.16 = 16,256/x
  3. Step 3: Cross multiply
    65,504x = 98,256.16 × 16,256
  4. Step 4: Simplify right side
    65,504x = 1,597,252,136.96
  5. Step 5: Solve for x
    x = 1,597,252,136.96/65,504
  6. Step 6: Final answer
    x = 24,384.04

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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.