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Finding the Fourth Proportional to 83,047, 114,606.12 and 45,321.34

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Solution

The fourth proportional to 83,047, 114,606.12 and 45,321.34 is: 62,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047 : 114,606.12 = 45,321.34 : x
  2. Step 2: Convert to fraction form
    83,047/114,606.12 = 45,321.34/x
  3. Step 3: Cross multiply
    83,047x = 114,606.12 × 45,321.34
  4. Step 4: Simplify right side
    83,047x = 5,194,102,930.60
  5. Step 5: Solve for x
    x = 5,194,102,930.60/83,047
  6. Step 6: Final answer
    x = 62,544.14

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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.