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Finding the Fourth Proportional to 47,860, 66,046.80 and 27,988

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Solution

The fourth proportional to 47,860, 66,046.80 and 27,988 is: 38,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,860 : 66,046.80 = 27,988 : x
  2. Step 2: Convert to fraction form
    47,860/66,046.80 = 27,988/x
  3. Step 3: Cross multiply
    47,860x = 66,046.80 × 27,988
  4. Step 4: Simplify right side
    47,860x = 1,848,517,838.40
  5. Step 5: Solve for x
    x = 1,848,517,838.40/47,860
  6. Step 6: Final answer
    x = 38,623.44

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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.