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Finding the Fourth Proportional to 48,201, 72,296.64 and 21,898.68

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Solution

The fourth proportional to 48,201, 72,296.64 and 21,898.68 is: 32,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201 : 72,296.64 = 21,898.68 : x
  2. Step 2: Convert to fraction form
    48,201/72,296.64 = 21,898.68/x
  3. Step 3: Cross multiply
    48,201x = 72,296.64 × 21,898.68
  4. Step 4: Simplify right side
    48,201x = 1,583,200,984.44
  5. Step 5: Solve for x
    x = 1,583,200,984.44/48,201
  6. Step 6: Final answer
    x = 32,845.81

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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.