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Finding the Fourth Proportional to 42,177.31, 58,202.42 and 23,313.31

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Solution

The fourth proportional to 42,177.31, 58,202.42 and 23,313.31 is: 32,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,177.31 : 58,202.42 = 23,313.31 : x
  2. Step 2: Convert to fraction form
    42,177.31/58,202.42 = 23,313.31/x
  3. Step 3: Cross multiply
    42,177.31x = 58,202.42 × 23,313.31
  4. Step 4: Simplify right side
    42,177.31x = 1,356,890,943.64
  5. Step 5: Solve for x
    x = 1,356,890,943.64/42,177.31
  6. Step 6: Final answer
    x = 32,171.11

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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.