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Finding the Fourth Proportional to 35,784.77, 49,380.48 and 19,867.95

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Solution

The fourth proportional to 35,784.77, 49,380.48 and 19,867.95 is: 27,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.77 : 49,380.48 = 19,867.95 : x
  2. Step 2: Convert to fraction form
    35,784.77/49,380.48 = 19,867.95/x
  3. Step 3: Cross multiply
    35,784.77x = 49,380.48 × 19,867.95
  4. Step 4: Simplify right side
    35,784.77x = 981,088,907.62
  5. Step 5: Solve for x
    x = 981,088,907.62/35,784.77
  6. Step 6: Final answer
    x = 27,416.39

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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.