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Finding the Fourth Proportional to 36,782.38, 50,810.92 and 35,416.86

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Solution

The fourth proportional to 36,782.38, 50,810.92 and 35,416.86 is: 48,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.38 : 50,810.92 = 35,416.86 : x
  2. Step 2: Convert to fraction form
    36,782.38/50,810.92 = 35,416.86/x
  3. Step 3: Cross multiply
    36,782.38x = 50,810.92 × 35,416.86
  4. Step 4: Simplify right side
    36,782.38x = 1,799,563,240.11
  5. Step 5: Solve for x
    x = 1,799,563,240.11/36,782.38
  6. Step 6: Final answer
    x = 48,924.60

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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.