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Finding the Fourth Proportional to 54,038.68, 74,564.01 and 31,372.58

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Solution

The fourth proportional to 54,038.68, 74,564.01 and 31,372.58 is: 43,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038.68 : 74,564.01 = 31,372.58 : x
  2. Step 2: Convert to fraction form
    54,038.68/74,564.01 = 31,372.58/x
  3. Step 3: Cross multiply
    54,038.68x = 74,564.01 × 31,372.58
  4. Step 4: Simplify right side
    54,038.68x = 2,339,265,555.26
  5. Step 5: Solve for x
    x = 2,339,265,555.26/54,038.68
  6. Step 6: Final answer
    x = 43,288.73

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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.