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Finding the Fourth Proportional to 54,537.45, 75,259.75 and 30,665.49

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Solution

The fourth proportional to 54,537.45, 75,259.75 and 30,665.49 is: 42,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,537.45 : 75,259.75 = 30,665.49 : x
  2. Step 2: Convert to fraction form
    54,537.45/75,259.75 = 30,665.49/x
  3. Step 3: Cross multiply
    54,537.45x = 75,259.75 × 30,665.49
  4. Step 4: Simplify right side
    54,537.45x = 2,307,877,111.03
  5. Step 5: Solve for x
    x = 2,307,877,111.03/54,537.45
  6. Step 6: Final answer
    x = 42,317.29

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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.