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Finding the Fourth Proportional to 50,408.34, 69,549.27 and 32,513.82

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Solution

The fourth proportional to 50,408.34, 69,549.27 and 32,513.82 is: 44,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,408.34 : 69,549.27 = 32,513.82 : x
  2. Step 2: Convert to fraction form
    50,408.34/69,549.27 = 32,513.82/x
  3. Step 3: Cross multiply
    50,408.34x = 69,549.27 × 32,513.82
  4. Step 4: Simplify right side
    50,408.34x = 2,261,312,445.91
  5. Step 5: Solve for x
    x = 2,261,312,445.91/50,408.34
  6. Step 6: Final answer
    x = 44,859.89

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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.