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Finding the Fourth Proportional to 35,640, 49,196.16 and 20,736

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Solution

The fourth proportional to 35,640, 49,196.16 and 20,736 is: 28,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,640 : 49,196.16 = 20,736 : x
  2. Step 2: Convert to fraction form
    35,640/49,196.16 = 20,736/x
  3. Step 3: Cross multiply
    35,640x = 49,196.16 × 20,736
  4. Step 4: Simplify right side
    35,640x = 1,020,131,573.76
  5. Step 5: Solve for x
    x = 1,020,131,573.76/35,640
  6. Step 6: Final answer
    x = 28,623.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.