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Finding the Fourth Proportional to 108,019.77, 162,027.74 and 29,142.33

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Solution

The fourth proportional to 108,019.77, 162,027.74 and 29,142.33 is: 43,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,019.77 : 162,027.74 = 29,142.33 : x
  2. Step 2: Convert to fraction form
    108,019.77/162,027.74 = 29,142.33/x
  3. Step 3: Cross multiply
    108,019.77x = 162,027.74 × 29,142.33
  4. Step 4: Simplify right side
    108,019.77x = 4,721,865,722.52
  5. Step 5: Solve for x
    x = 4,721,865,722.52/108,019.77
  6. Step 6: Final answer
    x = 43,712.98

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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.