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Finding the Fourth Proportional to 42,034, 58,007.30 and 23,171.80

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Solution

The fourth proportional to 42,034, 58,007.30 and 23,171.80 is: 31,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,034 : 58,007.30 = 23,171.80 : x
  2. Step 2: Convert to fraction form
    42,034/58,007.30 = 23,171.80/x
  3. Step 3: Cross multiply
    42,034x = 58,007.30 × 23,171.80
  4. Step 4: Simplify right side
    42,034x = 1,344,133,554.14
  5. Step 5: Solve for x
    x = 1,344,133,554.14/42,034
  6. Step 6: Final answer
    x = 31,977.29

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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.