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Finding the Fourth Proportional to 82,994.96, 114,534.60 and 45,270.56

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Solution

The fourth proportional to 82,994.96, 114,534.60 and 45,270.56 is: 62,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,994.96 : 114,534.60 = 45,270.56 : x
  2. Step 2: Convert to fraction form
    82,994.96/114,534.60 = 45,270.56/x
  3. Step 3: Cross multiply
    82,994.96x = 114,534.60 × 45,270.56
  4. Step 4: Simplify right side
    82,994.96x = 5,185,045,481.38
  5. Step 5: Solve for x
    x = 5,185,045,481.38/82,994.96
  6. Step 6: Final answer
    x = 62,474.22

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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.