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Finding the Fourth Proportional to 50,594.84, 75,895.92 and 19,430.09

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Solution

The fourth proportional to 50,594.84, 75,895.92 and 19,430.09 is: 29,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594.84 : 75,895.92 = 19,430.09 : x
  2. Step 2: Convert to fraction form
    50,594.84/75,895.92 = 19,430.09/x
  3. Step 3: Cross multiply
    50,594.84x = 75,895.92 × 19,430.09
  4. Step 4: Simplify right side
    50,594.84x = 1,474,664,176.75
  5. Step 5: Solve for x
    x = 1,474,664,176.75/50,594.84
  6. Step 6: Final answer
    x = 29,146.54

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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.