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Finding the Fourth Proportional to 82,969.14, 114,508.56 and 52,757.46

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Solution

The fourth proportional to 82,969.14, 114,508.56 and 52,757.46 is: 72,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,969.14 : 114,508.56 = 52,757.46 : x
  2. Step 2: Convert to fraction form
    82,969.14/114,508.56 = 52,757.46/x
  3. Step 3: Cross multiply
    82,969.14x = 114,508.56 × 52,757.46
  4. Step 4: Simplify right side
    82,969.14x = 6,041,180,773.86
  5. Step 5: Solve for x
    x = 6,041,180,773.86/82,969.14
  6. Step 6: Final answer
    x = 72,812.38

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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.