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Finding the Fourth Proportional to 66,096, 99,159.68 and 22,320

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Solution

The fourth proportional to 66,096, 99,159.68 and 22,320 is: 33,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,096 : 99,159.68 = 22,320 : x
  2. Step 2: Convert to fraction form
    66,096/99,159.68 = 22,320/x
  3. Step 3: Cross multiply
    66,096x = 99,159.68 × 22,320
  4. Step 4: Simplify right side
    66,096x = 2,213,244,057.60
  5. Step 5: Solve for x
    x = 2,213,244,057.60/66,096
  6. Step 6: Final answer
    x = 33,485.29

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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.