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Finding the Fourth Proportional to 82,916.92, 114,443.80 and 52,696.34

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Solution

The fourth proportional to 82,916.92, 114,443.80 and 52,696.34 is: 72,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,916.92 : 114,443.80 = 52,696.34 : x
  2. Step 2: Convert to fraction form
    82,916.92/114,443.80 = 52,696.34/x
  3. Step 3: Cross multiply
    82,916.92x = 114,443.80 × 52,696.34
  4. Step 4: Simplify right side
    82,916.92x = 6,030,769,395.69
  5. Step 5: Solve for x
    x = 6,030,769,395.69/82,916.92
  6. Step 6: Final answer
    x = 72,732.68

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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.