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Finding the Fourth Proportional to 35,894.88, 49,536 and 19,763.01

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Solution

The fourth proportional to 35,894.88, 49,536 and 19,763.01 is: 27,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.88 : 49,536 = 19,763.01 : x
  2. Step 2: Convert to fraction form
    35,894.88/49,536 = 19,763.01/x
  3. Step 3: Cross multiply
    35,894.88x = 49,536 × 19,763.01
  4. Step 4: Simplify right side
    35,894.88x = 978,980,463.36
  5. Step 5: Solve for x
    x = 978,980,463.36/35,894.88
  6. Step 6: Final answer
    x = 27,273.54

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Why These Related Problems?

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