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Finding the Fourth Proportional to 57,755.31, 79,707.69 and 35,089.08

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Solution

The fourth proportional to 57,755.31, 79,707.69 and 35,089.08 is: 48,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,755.31 : 79,707.69 = 35,089.08 : x
  2. Step 2: Convert to fraction form
    57,755.31/79,707.69 = 35,089.08/x
  3. Step 3: Cross multiply
    57,755.31x = 79,707.69 × 35,089.08
  4. Step 4: Simplify right side
    57,755.31x = 2,796,869,511.03
  5. Step 5: Solve for x
    x = 2,796,869,511.03/57,755.31
  6. Step 6: Final answer
    x = 48,426.19

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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.