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Finding the Fourth Proportional to 82,915.72, 114,427.74 and 47,105.08

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Solution

The fourth proportional to 82,915.72, 114,427.74 and 47,105.08 is: 65,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.72 : 114,427.74 = 47,105.08 : x
  2. Step 2: Convert to fraction form
    82,915.72/114,427.74 = 47,105.08/x
  3. Step 3: Cross multiply
    82,915.72x = 114,427.74 × 47,105.08
  4. Step 4: Simplify right side
    82,915.72x = 5,390,127,846.92
  5. Step 5: Solve for x
    x = 5,390,127,846.92/82,915.72
  6. Step 6: Final answer
    x = 65,007.31

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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.