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Finding the Fourth Proportional to 50,782.35, 76,227.90 and 42,980.23

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Solution

The fourth proportional to 50,782.35, 76,227.90 and 42,980.23 is: 64,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,782.35 : 76,227.90 = 42,980.23 : x
  2. Step 2: Convert to fraction form
    50,782.35/76,227.90 = 42,980.23/x
  3. Step 3: Cross multiply
    50,782.35x = 76,227.90 × 42,980.23
  4. Step 4: Simplify right side
    50,782.35x = 3,276,292,674.42
  5. Step 5: Solve for x
    x = 3,276,292,674.42/50,782.35
  6. Step 6: Final answer
    x = 64,516.37

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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.