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Finding the Fourth Proportional to 35,755.34, 49,342.36 and 19,842.35

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Solution

The fourth proportional to 35,755.34, 49,342.36 and 19,842.35 is: 27,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,755.34 : 49,342.36 = 19,842.35 : x
  2. Step 2: Convert to fraction form
    35,755.34/49,342.36 = 19,842.35/x
  3. Step 3: Cross multiply
    35,755.34x = 49,342.36 × 19,842.35
  4. Step 4: Simplify right side
    35,755.34x = 979,068,130.23
  5. Step 5: Solve for x
    x = 979,068,130.23/35,755.34
  6. Step 6: Final answer
    x = 27,382.43

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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.