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Finding the Fourth Proportional to 49,199.04, 67,894.40 and 27,978.32

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Solution

The fourth proportional to 49,199.04, 67,894.40 and 27,978.32 is: 38,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,199.04 : 67,894.40 = 27,978.32 : x
  2. Step 2: Convert to fraction form
    49,199.04/67,894.40 = 27,978.32/x
  3. Step 3: Cross multiply
    49,199.04x = 67,894.40 × 27,978.32
  4. Step 4: Simplify right side
    49,199.04x = 1,899,571,249.41
  5. Step 5: Solve for x
    x = 1,899,571,249.41/49,199.04
  6. Step 6: Final answer
    x = 38,609.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.