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Finding the Fourth Proportional to 36,461, 54,696.78 and 11,492.60

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Solution

The fourth proportional to 36,461, 54,696.78 and 11,492.60 is: 17,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461 : 54,696.78 = 11,492.60 : x
  2. Step 2: Convert to fraction form
    36,461/54,696.78 = 11,492.60/x
  3. Step 3: Cross multiply
    36,461x = 54,696.78 × 11,492.60
  4. Step 4: Simplify right side
    36,461x = 628,608,213.83
  5. Step 5: Solve for x
    x = 628,608,213.83/36,461
  6. Step 6: Final answer
    x = 17,240.56

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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.