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Finding the Fourth Proportional to 35,690.30, 49,253.01 and 19,775

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Solution

The fourth proportional to 35,690.30, 49,253.01 and 19,775 is: 27,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,690.30 : 49,253.01 = 19,775 : x
  2. Step 2: Convert to fraction form
    35,690.30/49,253.01 = 19,775/x
  3. Step 3: Cross multiply
    35,690.30x = 49,253.01 × 19,775
  4. Step 4: Simplify right side
    35,690.30x = 973,978,272.75
  5. Step 5: Solve for x
    x = 973,978,272.75/35,690.30
  6. Step 6: Final answer
    x = 27,289.72

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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.