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Finding the Fourth Proportional to 35,965.20, 49,519.02 and 30,577.02

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Solution

The fourth proportional to 35,965.20, 49,519.02 and 30,577.02 is: 42,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.20 : 49,519.02 = 30,577.02 : x
  2. Step 2: Convert to fraction form
    35,965.20/49,519.02 = 30,577.02/x
  3. Step 3: Cross multiply
    35,965.20x = 49,519.02 × 30,577.02
  4. Step 4: Simplify right side
    35,965.20x = 1,514,144,064.92
  5. Step 5: Solve for x
    x = 1,514,144,064.92/35,965.20
  6. Step 6: Final answer
    x = 42,100.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.