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Finding the Fourth Proportional to 37,604.16, 51,893.82 and 20,837.16

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Solution

The fourth proportional to 37,604.16, 51,893.82 and 20,837.16 is: 28,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,604.16 : 51,893.82 = 20,837.16 : x
  2. Step 2: Convert to fraction form
    37,604.16/51,893.82 = 20,837.16/x
  3. Step 3: Cross multiply
    37,604.16x = 51,893.82 × 20,837.16
  4. Step 4: Simplify right side
    37,604.16x = 1,081,319,830.35
  5. Step 5: Solve for x
    x = 1,081,319,830.35/37,604.16
  6. Step 6: Final answer
    x = 28,755.32

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1.5x scale

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.