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Finding the Fourth Proportional to 108,028, 162,033.84 and 37,912

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Solution

The fourth proportional to 108,028, 162,033.84 and 37,912 is: 56,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,028 : 162,033.84 = 37,912 : x
  2. Step 2: Convert to fraction form
    108,028/162,033.84 = 37,912/x
  3. Step 3: Cross multiply
    108,028x = 162,033.84 × 37,912
  4. Step 4: Simplify right side
    108,028x = 6,143,026,942.08
  5. Step 5: Solve for x
    x = 6,143,026,942.08/108,028
  6. Step 6: Final answer
    x = 56,865.14

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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.