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Finding the Fourth Proportional to 54,033.54, 74,567.46 and 29,834.46

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Solution

The fourth proportional to 54,033.54, 74,567.46 and 29,834.46 is: 41,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,033.54 : 74,567.46 = 29,834.46 : x
  2. Step 2: Convert to fraction form
    54,033.54/74,567.46 = 29,834.46/x
  3. Step 3: Cross multiply
    54,033.54x = 74,567.46 × 29,834.46
  4. Step 4: Simplify right side
    54,033.54x = 2,224,679,902.67
  5. Step 5: Solve for x
    x = 2,224,679,902.67/54,033.54
  6. Step 6: Final answer
    x = 41,172.20

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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.