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Finding the Fourth Proportional to 35,751.62, 49,339.68 and 19,837.46

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Solution

The fourth proportional to 35,751.62, 49,339.68 and 19,837.46 is: 27,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.62 : 49,339.68 = 19,837.46 : x
  2. Step 2: Convert to fraction form
    35,751.62/49,339.68 = 19,837.46/x
  3. Step 3: Cross multiply
    35,751.62x = 49,339.68 × 19,837.46
  4. Step 4: Simplify right side
    35,751.62x = 978,773,928.41
  5. Step 5: Solve for x
    x = 978,773,928.41/35,751.62
  6. Step 6: Final answer
    x = 27,377.05

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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.