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Finding the Fourth Proportional to 58,645, 80,930.10 and 32,149

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Solution

The fourth proportional to 58,645, 80,930.10 and 32,149 is: 44,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,645 : 80,930.10 = 32,149 : x
  2. Step 2: Convert to fraction form
    58,645/80,930.10 = 32,149/x
  3. Step 3: Cross multiply
    58,645x = 80,930.10 × 32,149
  4. Step 4: Simplify right side
    58,645x = 2,601,821,784.90
  5. Step 5: Solve for x
    x = 2,601,821,784.90/58,645
  6. Step 6: Final answer
    x = 44,365.62

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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.