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Finding the Fourth Proportional to 51,801.78, 71,496.66 and 33,674.96

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Solution

The fourth proportional to 51,801.78, 71,496.66 and 33,674.96 is: 46,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,801.78 : 71,496.66 = 33,674.96 : x
  2. Step 2: Convert to fraction form
    51,801.78/71,496.66 = 33,674.96/x
  3. Step 3: Cross multiply
    51,801.78x = 71,496.66 × 33,674.96
  4. Step 4: Simplify right side
    51,801.78x = 2,407,646,808.15
  5. Step 5: Solve for x
    x = 2,407,646,808.15/51,801.78
  6. Step 6: Final answer
    x = 46,478.07

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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.