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Finding the Fourth Proportional to 35,653.09, 49,201.84 and 19,520.13

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Solution

The fourth proportional to 35,653.09, 49,201.84 and 19,520.13 is: 26,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.09 : 49,201.84 = 19,520.13 : x
  2. Step 2: Convert to fraction form
    35,653.09/49,201.84 = 19,520.13/x
  3. Step 3: Cross multiply
    35,653.09x = 49,201.84 × 19,520.13
  4. Step 4: Simplify right side
    35,653.09x = 960,426,313.04
  5. Step 5: Solve for x
    x = 960,426,313.04/35,653.09
  6. Step 6: Final answer
    x = 26,938.09

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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.