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Finding the Fourth Proportional to 47,792.13, 71,696.85 and 19,696.56

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Solution

The fourth proportional to 47,792.13, 71,696.85 and 19,696.56 is: 29,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.13 : 71,696.85 = 19,696.56 : x
  2. Step 2: Convert to fraction form
    47,792.13/71,696.85 = 19,696.56/x
  3. Step 3: Cross multiply
    47,792.13x = 71,696.85 × 19,696.56
  4. Step 4: Simplify right side
    47,792.13x = 1,412,181,307.84
  5. Step 5: Solve for x
    x = 1,412,181,307.84/47,792.13
  6. Step 6: Final answer
    x = 29,548.41

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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.