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Finding the Fourth Proportional to 35,616.09, 49,151.04 and 19,700.85

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Solution

The fourth proportional to 35,616.09, 49,151.04 and 19,700.85 is: 27,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,616.09 : 49,151.04 = 19,700.85 : x
  2. Step 2: Convert to fraction form
    35,616.09/49,151.04 = 19,700.85/x
  3. Step 3: Cross multiply
    35,616.09x = 49,151.04 × 19,700.85
  4. Step 4: Simplify right side
    35,616.09x = 968,317,266.38
  5. Step 5: Solve for x
    x = 968,317,266.38/35,616.09
  6. Step 6: Final answer
    x = 27,187.64

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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.