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Finding the Fourth Proportional to 47,987.94, 66,208.68 and 27,837.84

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Solution

The fourth proportional to 47,987.94, 66,208.68 and 27,837.84 is: 38,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,987.94 : 66,208.68 = 27,837.84 : x
  2. Step 2: Convert to fraction form
    47,987.94/66,208.68 = 27,837.84/x
  3. Step 3: Cross multiply
    47,987.94x = 66,208.68 × 27,837.84
  4. Step 4: Simplify right side
    47,987.94x = 1,843,106,640.45
  5. Step 5: Solve for x
    x = 1,843,106,640.45/47,987.94
  6. Step 6: Final answer
    x = 38,407.70

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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.