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Finding the Fourth Proportional to 36,784.41, 55,177.17 and 17,798.01

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Solution

The fourth proportional to 36,784.41, 55,177.17 and 17,798.01 is: 26,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784.41 : 55,177.17 = 17,798.01 : x
  2. Step 2: Convert to fraction form
    36,784.41/55,177.17 = 17,798.01/x
  3. Step 3: Cross multiply
    36,784.41x = 55,177.17 × 17,798.01
  4. Step 4: Simplify right side
    36,784.41x = 982,043,823.43
  5. Step 5: Solve for x
    x = 982,043,823.43/36,784.41
  6. Step 6: Final answer
    x = 26,697.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.