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Finding the Fourth Proportional to 54,058, 74,599.20 and 30,185.04

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Solution

The fourth proportional to 54,058, 74,599.20 and 30,185.04 is: 41,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,058 : 74,599.20 = 30,185.04 : x
  2. Step 2: Convert to fraction form
    54,058/74,599.20 = 30,185.04/x
  3. Step 3: Cross multiply
    54,058x = 74,599.20 × 30,185.04
  4. Step 4: Simplify right side
    54,058x = 2,251,779,835.97
  5. Step 5: Solve for x
    x = 2,251,779,835.97/54,058
  6. Step 6: Final answer
    x = 41,654.89

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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.