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Finding the Fourth Proportional to 97,893, 135,092.34 and 58,149

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Solution

The fourth proportional to 97,893, 135,092.34 and 58,149 is: 80,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,893 : 135,092.34 = 58,149 : x
  2. Step 2: Convert to fraction form
    97,893/135,092.34 = 58,149/x
  3. Step 3: Cross multiply
    97,893x = 135,092.34 × 58,149
  4. Step 4: Simplify right side
    97,893x = 7,855,484,478.66
  5. Step 5: Solve for x
    x = 7,855,484,478.66/97,893
  6. Step 6: Final answer
    x = 80,245.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.