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Finding the Fourth Proportional to 54,237.66, 74,845.72 and 31,577.23

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Solution

The fourth proportional to 54,237.66, 74,845.72 and 31,577.23 is: 43,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,237.66 : 74,845.72 = 31,577.23 : x
  2. Step 2: Convert to fraction form
    54,237.66/74,845.72 = 31,577.23/x
  3. Step 3: Cross multiply
    54,237.66x = 74,845.72 × 31,577.23
  4. Step 4: Simplify right side
    54,237.66x = 2,363,420,514.96
  5. Step 5: Solve for x
    x = 2,363,420,514.96/54,237.66
  6. Step 6: Final answer
    x = 43,575.27

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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.