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Finding the Fourth Proportional to 82,916.38, 114,427.69 and 47,112.45

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Solution

The fourth proportional to 82,916.38, 114,427.69 and 47,112.45 is: 65,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,916.38 : 114,427.69 = 47,112.45 : x
  2. Step 2: Convert to fraction form
    82,916.38/114,427.69 = 47,112.45/x
  3. Step 3: Cross multiply
    82,916.38x = 114,427.69 × 47,112.45
  4. Step 4: Simplify right side
    82,916.38x = 5,390,968,823.74
  5. Step 5: Solve for x
    x = 5,390,968,823.74/82,916.38
  6. Step 6: Final answer
    x = 65,016.93

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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.