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Finding the Fourth Proportional to 46,064, 69,096 and 13,232

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Solution

The fourth proportional to 46,064, 69,096 and 13,232 is: 19,848

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,064 : 69,096 = 13,232 : x
  2. Step 2: Convert to fraction form
    46,064/69,096 = 13,232/x
  3. Step 3: Cross multiply
    46,064x = 69,096 × 13,232
  4. Step 4: Simplify right side
    46,064x = 914,278,272
  5. Step 5: Solve for x
    x = 914,278,272/46,064
  6. Step 6: Final answer
    x = 19,848

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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.