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Finding the Fourth Proportional to 35,686.20, 49,245.74 and 19,771.32

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Solution

The fourth proportional to 35,686.20, 49,245.74 and 19,771.32 is: 27,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.20 : 49,245.74 = 19,771.32 : x
  2. Step 2: Convert to fraction form
    35,686.20/49,245.74 = 19,771.32/x
  3. Step 3: Cross multiply
    35,686.20x = 49,245.74 × 19,771.32
  4. Step 4: Simplify right side
    35,686.20x = 973,653,284.18
  5. Step 5: Solve for x
    x = 973,653,284.18/35,686.20
  6. Step 6: Final answer
    x = 27,283.75

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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.