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Finding the Fourth Proportional to 55,633.50, 76,774.32 and 30,483

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Solution

The fourth proportional to 55,633.50, 76,774.32 and 30,483 is: 42,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,633.50 : 76,774.32 = 30,483 : x
  2. Step 2: Convert to fraction form
    55,633.50/76,774.32 = 30,483/x
  3. Step 3: Cross multiply
    55,633.50x = 76,774.32 × 30,483
  4. Step 4: Simplify right side
    55,633.50x = 2,340,311,596.56
  5. Step 5: Solve for x
    x = 2,340,311,596.56/55,633.50
  6. Step 6: Final answer
    x = 42,066.59

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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.