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Finding the Fourth Proportional to 52,843.82, 72,955.96 and 34,954.16

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Solution

The fourth proportional to 52,843.82, 72,955.96 and 34,954.16 is: 48,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,843.82 : 72,955.96 = 34,954.16 : x
  2. Step 2: Convert to fraction form
    52,843.82/72,955.96 = 34,954.16/x
  3. Step 3: Cross multiply
    52,843.82x = 72,955.96 × 34,954.16
  4. Step 4: Simplify right side
    52,843.82x = 2,550,113,846.63
  5. Step 5: Solve for x
    x = 2,550,113,846.63/52,843.82
  6. Step 6: Final answer
    x = 48,257.57

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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.