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Finding the Fourth Proportional to 40,147.88, 55,467.06 and 27,639.32

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Solution

The fourth proportional to 40,147.88, 55,467.06 and 27,639.32 is: 38,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,147.88 : 55,467.06 = 27,639.32 : x
  2. Step 2: Convert to fraction form
    40,147.88/55,467.06 = 27,639.32/x
  3. Step 3: Cross multiply
    40,147.88x = 55,467.06 × 27,639.32
  4. Step 4: Simplify right side
    40,147.88x = 1,533,071,820.80
  5. Step 5: Solve for x
    x = 1,533,071,820.80/40,147.88
  6. Step 6: Final answer
    x = 38,185.62

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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.