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Finding the Fourth Proportional to 54,037.54, 74,564.46 and 31,372.94

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Solution

The fourth proportional to 54,037.54, 74,564.46 and 31,372.94 is: 43,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,037.54 : 74,564.46 = 31,372.94 : x
  2. Step 2: Convert to fraction form
    54,037.54/74,564.46 = 31,372.94/x
  3. Step 3: Cross multiply
    54,037.54x = 74,564.46 × 31,372.94
  4. Step 4: Simplify right side
    54,037.54x = 2,339,306,329.71
  5. Step 5: Solve for x
    x = 2,339,306,329.71/54,037.54
  6. Step 6: Final answer
    x = 43,290.39

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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.