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Finding the Fourth Proportional to 50,548.96, 69,771.42 and 29,335

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Solution

The fourth proportional to 50,548.96, 69,771.42 and 29,335 is: 40,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,548.96 : 69,771.42 = 29,335 : x
  2. Step 2: Convert to fraction form
    50,548.96/69,771.42 = 29,335/x
  3. Step 3: Cross multiply
    50,548.96x = 69,771.42 × 29,335
  4. Step 4: Simplify right side
    50,548.96x = 2,046,744,605.70
  5. Step 5: Solve for x
    x = 2,046,744,605.70/50,548.96
  6. Step 6: Final answer
    x = 40,490.34

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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.