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Finding the Fourth Proportional to 35,898.66, 49,542.44 and 19,984.19

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Solution

The fourth proportional to 35,898.66, 49,542.44 and 19,984.19 is: 27,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898.66 : 49,542.44 = 19,984.19 : x
  2. Step 2: Convert to fraction form
    35,898.66/49,542.44 = 19,984.19/x
  3. Step 3: Cross multiply
    35,898.66x = 49,542.44 × 19,984.19
  4. Step 4: Simplify right side
    35,898.66x = 990,065,186.39
  5. Step 5: Solve for x
    x = 990,065,186.39/35,898.66
  6. Step 6: Final answer
    x = 27,579.45

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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.