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Finding the Fourth Proportional to 35,993.30, 49,670.72 and 20,077.74

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Solution

The fourth proportional to 35,993.30, 49,670.72 and 20,077.74 is: 27,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993.30 : 49,670.72 = 20,077.74 : x
  2. Step 2: Convert to fraction form
    35,993.30/49,670.72 = 20,077.74/x
  3. Step 3: Cross multiply
    35,993.30x = 49,670.72 × 20,077.74
  4. Step 4: Simplify right side
    35,993.30x = 997,275,801.77
  5. Step 5: Solve for x
    x = 997,275,801.77/35,993.30
  6. Step 6: Final answer
    x = 27,707.26

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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.