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Finding the Fourth Proportional to 35,712.45, 49,284.81 and 19,797.21

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Solution

The fourth proportional to 35,712.45, 49,284.81 and 19,797.21 is: 27,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.45 : 49,284.81 = 19,797.21 : x
  2. Step 2: Convert to fraction form
    35,712.45/49,284.81 = 19,797.21/x
  3. Step 3: Cross multiply
    35,712.45x = 49,284.81 × 19,797.21
  4. Step 4: Simplify right side
    35,712.45x = 975,701,733.38
  5. Step 5: Solve for x
    x = 975,701,733.38/35,712.45
  6. Step 6: Final answer
    x = 27,321.05

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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.