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Finding the Fourth Proportional to 54,083.54, 74,658.30 and 32,869.64

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Solution

The fourth proportional to 54,083.54, 74,658.30 and 32,869.64 is: 45,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,083.54 : 74,658.30 = 32,869.64 : x
  2. Step 2: Convert to fraction form
    54,083.54/74,658.30 = 32,869.64/x
  3. Step 3: Cross multiply
    54,083.54x = 74,658.30 × 32,869.64
  4. Step 4: Simplify right side
    54,083.54x = 2,453,991,444.01
  5. Step 5: Solve for x
    x = 2,453,991,444.01/54,083.54
  6. Step 6: Final answer
    x = 45,374.09

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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.