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Finding the Fourth Proportional to 35,084.59, 48,416.78 and 19,977.26

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Solution

The fourth proportional to 35,084.59, 48,416.78 and 19,977.26 is: 27,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,084.59 : 48,416.78 = 19,977.26 : x
  2. Step 2: Convert to fraction form
    35,084.59/48,416.78 = 19,977.26/x
  3. Step 3: Cross multiply
    35,084.59x = 48,416.78 × 19,977.26
  4. Step 4: Simplify right side
    35,084.59x = 967,234,481.38
  5. Step 5: Solve for x
    x = 967,234,481.38/35,084.59
  6. Step 6: Final answer
    x = 27,568.64

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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.