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Finding the Fourth Proportional to 51,603.80, 71,206.46 and 30,378.84

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Solution

The fourth proportional to 51,603.80, 71,206.46 and 30,378.84 is: 41,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,603.80 : 71,206.46 = 30,378.84 : x
  2. Step 2: Convert to fraction form
    51,603.80/71,206.46 = 30,378.84/x
  3. Step 3: Cross multiply
    51,603.80x = 71,206.46 × 30,378.84
  4. Step 4: Simplify right side
    51,603.80x = 2,163,169,655.31
  5. Step 5: Solve for x
    x = 2,163,169,655.31/51,603.80
  6. Step 6: Final answer
    x = 41,918.81

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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.