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Finding the Fourth Proportional to 54,734, 75,533.01 and 29,583.50

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Solution

The fourth proportional to 54,734, 75,533.01 and 29,583.50 is: 40,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,734 : 75,533.01 = 29,583.50 : x
  2. Step 2: Convert to fraction form
    54,734/75,533.01 = 29,583.50/x
  3. Step 3: Cross multiply
    54,734x = 75,533.01 × 29,583.50
  4. Step 4: Simplify right side
    54,734x = 2,234,530,801.34
  5. Step 5: Solve for x
    x = 2,234,530,801.34/54,734
  6. Step 6: Final answer
    x = 40,825.28

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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.