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Finding the Fourth Proportional to 48,064, 72,096 and 15,232

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Solution

The fourth proportional to 48,064, 72,096 and 15,232 is: 22,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064 : 72,096 = 15,232 : x
  2. Step 2: Convert to fraction form
    48,064/72,096 = 15,232/x
  3. Step 3: Cross multiply
    48,064x = 72,096 × 15,232
  4. Step 4: Simplify right side
    48,064x = 1,098,166,272
  5. Step 5: Solve for x
    x = 1,098,166,272/48,064
  6. Step 6: Final answer
    x = 22,848

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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.