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Finding the Fourth Proportional to 50,756.50, 70,075.74 and 32,614.57

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Solution

The fourth proportional to 50,756.50, 70,075.74 and 32,614.57 is: 45,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,756.50 : 70,075.74 = 32,614.57 : x
  2. Step 2: Convert to fraction form
    50,756.50/70,075.74 = 32,614.57/x
  3. Step 3: Cross multiply
    50,756.50x = 70,075.74 × 32,614.57
  4. Step 4: Simplify right side
    50,756.50x = 2,285,490,127.53
  5. Step 5: Solve for x
    x = 2,285,490,127.53/50,756.50
  6. Step 6: Final answer
    x = 45,028.52

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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.