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Finding the Fourth Proportional to 42,177, 58,204.34 and 23,314.13

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Solution

The fourth proportional to 42,177, 58,204.34 and 23,314.13 is: 32,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,177 : 58,204.34 = 23,314.13 : x
  2. Step 2: Convert to fraction form
    42,177/58,204.34 = 23,314.13/x
  3. Step 3: Cross multiply
    42,177x = 58,204.34 × 23,314.13
  4. Step 4: Simplify right side
    42,177x = 1,356,983,141.73
  5. Step 5: Solve for x
    x = 1,356,983,141.73/42,177
  6. Step 6: Final answer
    x = 32,173.53

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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.