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Finding the Fourth Proportional to 82,663.50, 114,076.44 and 44,938.56

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Solution

The fourth proportional to 82,663.50, 114,076.44 and 44,938.56 is: 62,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.50 : 114,076.44 = 44,938.56 : x
  2. Step 2: Convert to fraction form
    82,663.50/114,076.44 = 44,938.56/x
  3. Step 3: Cross multiply
    82,663.50x = 114,076.44 × 44,938.56
  4. Step 4: Simplify right side
    82,663.50x = 5,126,430,943.53
  5. Step 5: Solve for x
    x = 5,126,430,943.53/82,663.50
  6. Step 6: Final answer
    x = 62,015.65

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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.