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Finding the Fourth Proportional to 36,783.68, 50,782.16 and 28,153.60

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Solution

The fourth proportional to 36,783.68, 50,782.16 and 28,153.60 is: 38,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,783.68 : 50,782.16 = 28,153.60 : x
  2. Step 2: Convert to fraction form
    36,783.68/50,782.16 = 28,153.60/x
  3. Step 3: Cross multiply
    36,783.68x = 50,782.16 × 28,153.60
  4. Step 4: Simplify right side
    36,783.68x = 1,429,700,619.78
  5. Step 5: Solve for x
    x = 1,429,700,619.78/36,783.68
  6. Step 6: Final answer
    x = 38,867.80

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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.