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Finding the Fourth Proportional to 82,915.98, 114,427.11 and 47,112.09

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Solution

The fourth proportional to 82,915.98, 114,427.11 and 47,112.09 is: 65,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.98 : 114,427.11 = 47,112.09 : x
  2. Step 2: Convert to fraction form
    82,915.98/114,427.11 = 47,112.09/x
  3. Step 3: Cross multiply
    82,915.98x = 114,427.11 × 47,112.09
  4. Step 4: Simplify right side
    82,915.98x = 5,390,900,304.76
  5. Step 5: Solve for x
    x = 5,390,900,304.76/82,915.98
  6. Step 6: Final answer
    x = 65,016.42

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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.