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Finding the Fourth Proportional to 83,050.50, 114,610.48 and 45,324.74

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Solution

The fourth proportional to 83,050.50, 114,610.48 and 45,324.74 is: 62,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,050.50 : 114,610.48 = 45,324.74 : x
  2. Step 2: Convert to fraction form
    83,050.50/114,610.48 = 45,324.74/x
  3. Step 3: Cross multiply
    83,050.50x = 114,610.48 × 45,324.74
  4. Step 4: Simplify right side
    83,050.50x = 5,194,690,207.28
  5. Step 5: Solve for x
    x = 5,194,690,207.28/83,050.50
  6. Step 6: Final answer
    x = 62,548.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.