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Finding the Fourth Proportional to 54,973.38, 75,871.41 and 34,832.14

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Solution

The fourth proportional to 54,973.38, 75,871.41 and 34,832.14 is: 48,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,973.38 : 75,871.41 = 34,832.14 : x
  2. Step 2: Convert to fraction form
    54,973.38/75,871.41 = 34,832.14/x
  3. Step 3: Cross multiply
    54,973.38x = 75,871.41 × 34,832.14
  4. Step 4: Simplify right side
    54,973.38x = 2,642,763,990.26
  5. Step 5: Solve for x
    x = 2,642,763,990.26/54,973.38
  6. Step 6: Final answer
    x = 48,073.52

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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.