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Finding the Fourth Proportional to 44,064, 66,096 and 11,232

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Solution

The fourth proportional to 44,064, 66,096 and 11,232 is: 16,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,064 : 66,096 = 11,232 : x
  2. Step 2: Convert to fraction form
    44,064/66,096 = 11,232/x
  3. Step 3: Cross multiply
    44,064x = 66,096 × 11,232
  4. Step 4: Simplify right side
    44,064x = 742,390,272
  5. Step 5: Solve for x
    x = 742,390,272/44,064
  6. Step 6: Final answer
    x = 16,848

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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.