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Finding the Fourth Proportional to 40,554.36, 55,978.38 and 23,787

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Solution

The fourth proportional to 40,554.36, 55,978.38 and 23,787 is: 32,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,554.36 : 55,978.38 = 23,787 : x
  2. Step 2: Convert to fraction form
    40,554.36/55,978.38 = 23,787/x
  3. Step 3: Cross multiply
    40,554.36x = 55,978.38 × 23,787
  4. Step 4: Simplify right side
    40,554.36x = 1,331,557,725.06
  5. Step 5: Solve for x
    x = 1,331,557,725.06/40,554.36
  6. Step 6: Final answer
    x = 32,833.90

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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.