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Finding the Fourth Proportional to 108,302.16, 162,468.63 and 33,428.46

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Solution

The fourth proportional to 108,302.16, 162,468.63 and 33,428.46 is: 50,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,302.16 : 162,468.63 = 33,428.46 : x
  2. Step 2: Convert to fraction form
    108,302.16/162,468.63 = 33,428.46/x
  3. Step 3: Cross multiply
    108,302.16x = 162,468.63 × 33,428.46
  4. Step 4: Simplify right side
    108,302.16x = 5,431,076,099.21
  5. Step 5: Solve for x
    x = 5,431,076,099.21/108,302.16
  6. Step 6: Final answer
    x = 50,147.44

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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.