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Finding the Fourth Proportional to 108,242, 162,365.44 and 37,164.50

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Solution

The fourth proportional to 108,242, 162,365.44 and 37,164.50 is: 55,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,242 : 162,365.44 = 37,164.50 : x
  2. Step 2: Convert to fraction form
    108,242/162,365.44 = 37,164.50/x
  3. Step 3: Cross multiply
    108,242x = 162,365.44 × 37,164.50
  4. Step 4: Simplify right side
    108,242x = 6,034,230,394.88
  5. Step 5: Solve for x
    x = 6,034,230,394.88/108,242
  6. Step 6: Final answer
    x = 55,747.59

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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.