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Finding the Fourth Proportional to 82,813.86, 114,244.29 and 50,971.14

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Solution

The fourth proportional to 82,813.86, 114,244.29 and 50,971.14 is: 70,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.86 : 114,244.29 = 50,971.14 : x
  2. Step 2: Convert to fraction form
    82,813.86/114,244.29 = 50,971.14/x
  3. Step 3: Cross multiply
    82,813.86x = 114,244.29 × 50,971.14
  4. Step 4: Simplify right side
    82,813.86x = 5,823,161,699.79
  5. Step 5: Solve for x
    x = 5,823,161,699.79/82,813.86
  6. Step 6: Final answer
    x = 70,316.27

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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.