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Finding the Fourth Proportional to 50,402.16, 69,548.49 and 30,255.30

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Solution

The fourth proportional to 50,402.16, 69,548.49 and 30,255.30 is: 41,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,402.16 : 69,548.49 = 30,255.30 : x
  2. Step 2: Convert to fraction form
    50,402.16/69,548.49 = 30,255.30/x
  3. Step 3: Cross multiply
    50,402.16x = 69,548.49 × 30,255.30
  4. Step 4: Simplify right side
    50,402.16x = 2,104,210,429.50
  5. Step 5: Solve for x
    x = 2,104,210,429.50/50,402.16
  6. Step 6: Final answer
    x = 41,748.42

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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.