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Finding the Fourth Proportional to 84,123.42, 116,090.46 and 45,883

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Solution

The fourth proportional to 84,123.42, 116,090.46 and 45,883 is: 63,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,123.42 : 116,090.46 = 45,883 : x
  2. Step 2: Convert to fraction form
    84,123.42/116,090.46 = 45,883/x
  3. Step 3: Cross multiply
    84,123.42x = 116,090.46 × 45,883
  4. Step 4: Simplify right side
    84,123.42x = 5,326,578,576.18
  5. Step 5: Solve for x
    x = 5,326,578,576.18/84,123.42
  6. Step 6: Final answer
    x = 63,318.62

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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.