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Finding the Fourth Proportional to 74,533.92, 111,801.96 and 21,931.44

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Solution

The fourth proportional to 74,533.92, 111,801.96 and 21,931.44 is: 32,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,533.92 : 111,801.96 = 21,931.44 : x
  2. Step 2: Convert to fraction form
    74,533.92/111,801.96 = 21,931.44/x
  3. Step 3: Cross multiply
    74,533.92x = 111,801.96 × 21,931.44
  4. Step 4: Simplify right side
    74,533.92x = 2,451,977,977.62
  5. Step 5: Solve for x
    x = 2,451,977,977.62/74,533.92
  6. Step 6: Final answer
    x = 32,897.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.