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Finding the Fourth Proportional to 30,422.66, 41,935.64 and 27,978.68

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Solution

The fourth proportional to 30,422.66, 41,935.64 and 27,978.68 is: 38,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.66 : 41,935.64 = 27,978.68 : x
  2. Step 2: Convert to fraction form
    30,422.66/41,935.64 = 27,978.68/x
  3. Step 3: Cross multiply
    30,422.66x = 41,935.64 × 27,978.68
  4. Step 4: Simplify right side
    30,422.66x = 1,173,303,817.10
  5. Step 5: Solve for x
    x = 1,173,303,817.10/30,422.66
  6. Step 6: Final answer
    x = 38,566.78

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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.