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Finding the Fourth Proportional to 36,788.64, 55,182.88 and 13,405.52

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Solution

The fourth proportional to 36,788.64, 55,182.88 and 13,405.52 is: 20,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788.64 : 55,182.88 = 13,405.52 : x
  2. Step 2: Convert to fraction form
    36,788.64/55,182.88 = 13,405.52/x
  3. Step 3: Cross multiply
    36,788.64x = 55,182.88 × 13,405.52
  4. Step 4: Simplify right side
    36,788.64x = 739,755,201.50
  5. Step 5: Solve for x
    x = 739,755,201.50/36,788.64
  6. Step 6: Final answer
    x = 20,108.25

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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.