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Finding the Fourth Proportional to 36,577.80, 50,477.32 and 19,810.80

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Solution

The fourth proportional to 36,577.80, 50,477.32 and 19,810.80 is: 27,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,577.80 : 50,477.32 = 19,810.80 : x
  2. Step 2: Convert to fraction form
    36,577.80/50,477.32 = 19,810.80/x
  3. Step 3: Cross multiply
    36,577.80x = 50,477.32 × 19,810.80
  4. Step 4: Simplify right side
    36,577.80x = 999,996,091.06
  5. Step 5: Solve for x
    x = 999,996,091.06/36,577.80
  6. Step 6: Final answer
    x = 27,338.88

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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.