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Finding the Fourth Proportional to 83,096, 114,673.04 and 45,370.72

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Solution

The fourth proportional to 83,096, 114,673.04 and 45,370.72 is: 62,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,096 : 114,673.04 = 45,370.72 : x
  2. Step 2: Convert to fraction form
    83,096/114,673.04 = 45,370.72/x
  3. Step 3: Cross multiply
    83,096x = 114,673.04 × 45,370.72
  4. Step 4: Simplify right side
    83,096x = 5,202,798,389.39
  5. Step 5: Solve for x
    x = 5,202,798,389.39/83,096
  6. Step 6: Final answer
    x = 62,611.90

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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.