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Finding the Fourth Proportional to 35,830.08, 49,444.65 and 19,914.39

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Solution

The fourth proportional to 35,830.08, 49,444.65 and 19,914.39 is: 27,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.08 : 49,444.65 = 19,914.39 : x
  2. Step 2: Convert to fraction form
    35,830.08/49,444.65 = 19,914.39/x
  3. Step 3: Cross multiply
    35,830.08x = 49,444.65 × 19,914.39
  4. Step 4: Simplify right side
    35,830.08x = 984,660,043.51
  5. Step 5: Solve for x
    x = 984,660,043.51/35,830.08
  6. Step 6: Final answer
    x = 27,481.38

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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.