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Finding the Fourth Proportional to 82,916, 114,427.17 and 47,112.08

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Solution

The fourth proportional to 82,916, 114,427.17 and 47,112.08 is: 65,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,916 : 114,427.17 = 47,112.08 : x
  2. Step 2: Convert to fraction form
    82,916/114,427.17 = 47,112.08/x
  3. Step 3: Cross multiply
    82,916x = 114,427.17 × 47,112.08
  4. Step 4: Simplify right side
    82,916x = 5,390,901,415.08
  5. Step 5: Solve for x
    x = 5,390,901,415.08/82,916
  6. Step 6: Final answer
    x = 65,016.42

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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.