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Finding the Fourth Proportional to 58,348.60, 80,506.85 and 32,850

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Solution

The fourth proportional to 58,348.60, 80,506.85 and 32,850 is: 45,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,348.60 : 80,506.85 = 32,850 : x
  2. Step 2: Convert to fraction form
    58,348.60/80,506.85 = 32,850/x
  3. Step 3: Cross multiply
    58,348.60x = 80,506.85 × 32,850
  4. Step 4: Simplify right side
    58,348.60x = 2,644,649,858.25
  5. Step 5: Solve for x
    x = 2,644,649,858.25/58,348.60
  6. Step 6: Final answer
    x = 45,324.99

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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.