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Finding the Fourth Proportional to 51,378.50, 77,075.09 and 15,842.82

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Solution

The fourth proportional to 51,378.50, 77,075.09 and 15,842.82 is: 23,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,378.50 : 77,075.09 = 15,842.82 : x
  2. Step 2: Convert to fraction form
    51,378.50/77,075.09 = 15,842.82/x
  3. Step 3: Cross multiply
    51,378.50x = 77,075.09 × 15,842.82
  4. Step 4: Simplify right side
    51,378.50x = 1,221,087,135.70
  5. Step 5: Solve for x
    x = 1,221,087,135.70/51,378.50
  6. Step 6: Final answer
    x = 23,766.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.