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Finding the Fourth Proportional to 35,842.82, 53,757.01 and 34,064.51

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Solution

The fourth proportional to 35,842.82, 53,757.01 and 34,064.51 is: 51,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.82 : 53,757.01 = 34,064.51 : x
  2. Step 2: Convert to fraction form
    35,842.82/53,757.01 = 34,064.51/x
  3. Step 3: Cross multiply
    35,842.82x = 53,757.01 × 34,064.51
  4. Step 4: Simplify right side
    35,842.82x = 1,831,206,253.95
  5. Step 5: Solve for x
    x = 1,831,206,253.95/35,842.82
  6. Step 6: Final answer
    x = 51,089.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.