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Finding the Fourth Proportional to 50,203.16, 75,280.49 and 29,148.50

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Solution

The fourth proportional to 50,203.16, 75,280.49 and 29,148.50 is: 43,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,203.16 : 75,280.49 = 29,148.50 : x
  2. Step 2: Convert to fraction form
    50,203.16/75,280.49 = 29,148.50/x
  3. Step 3: Cross multiply
    50,203.16x = 75,280.49 × 29,148.50
  4. Step 4: Simplify right side
    50,203.16x = 2,194,313,362.77
  5. Step 5: Solve for x
    x = 2,194,313,362.77/50,203.16
  6. Step 6: Final answer
    x = 43,708.67

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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.