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Finding the Fourth Proportional to 45,696.24, 68,550 and 22,305

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Solution

The fourth proportional to 45,696.24, 68,550 and 22,305 is: 33,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,696.24 : 68,550 = 22,305 : x
  2. Step 2: Convert to fraction form
    45,696.24/68,550 = 22,305/x
  3. Step 3: Cross multiply
    45,696.24x = 68,550 × 22,305
  4. Step 4: Simplify right side
    45,696.24x = 1,529,007,750
  5. Step 5: Solve for x
    x = 1,529,007,750/45,696.24
  6. Step 6: Final answer
    x = 33,460.25

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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.