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Finding the Fourth Proportional to 36,582.68, 50,438.22 and 29,861.48

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Solution

The fourth proportional to 36,582.68, 50,438.22 and 29,861.48 is: 41,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,582.68 : 50,438.22 = 29,861.48 : x
  2. Step 2: Convert to fraction form
    36,582.68/50,438.22 = 29,861.48/x
  3. Step 3: Cross multiply
    36,582.68x = 50,438.22 × 29,861.48
  4. Step 4: Simplify right side
    36,582.68x = 1,506,159,897.77
  5. Step 5: Solve for x
    x = 1,506,159,897.77/36,582.68
  6. Step 6: Final answer
    x = 41,171.39

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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.