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Finding the Fourth Proportional to 55,633.50, 76,774.23 and 30,482.46

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Solution

The fourth proportional to 55,633.50, 76,774.23 and 30,482.46 is: 42,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,633.50 : 76,774.23 = 30,482.46 : x
  2. Step 2: Convert to fraction form
    55,633.50/76,774.23 = 30,482.46/x
  3. Step 3: Cross multiply
    55,633.50x = 76,774.23 × 30,482.46
  4. Step 4: Simplify right side
    55,633.50x = 2,340,267,395.01
  5. Step 5: Solve for x
    x = 2,340,267,395.01/55,633.50
  6. Step 6: Final answer
    x = 42,065.79

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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.