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Finding the Fourth Proportional to 50,533.85, 75,706 and 42,266.99

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Solution

The fourth proportional to 50,533.85, 75,706 and 42,266.99 is: 63,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,533.85 : 75,706 = 42,266.99 : x
  2. Step 2: Convert to fraction form
    50,533.85/75,706 = 42,266.99/x
  3. Step 3: Cross multiply
    50,533.85x = 75,706 × 42,266.99
  4. Step 4: Simplify right side
    50,533.85x = 3,199,864,744.94
  5. Step 5: Solve for x
    x = 3,199,864,744.94/50,533.85
  6. Step 6: Final answer
    x = 63,321.21

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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.