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Finding the Fourth Proportional to 35,561.70, 49,074.44 and 19,646

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Solution

The fourth proportional to 35,561.70, 49,074.44 and 19,646 is: 27,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,561.70 : 49,074.44 = 19,646 : x
  2. Step 2: Convert to fraction form
    35,561.70/49,074.44 = 19,646/x
  3. Step 3: Cross multiply
    35,561.70x = 49,074.44 × 19,646
  4. Step 4: Simplify right side
    35,561.70x = 964,116,448.24
  5. Step 5: Solve for x
    x = 964,116,448.24/35,561.70
  6. Step 6: Final answer
    x = 27,111.09

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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.