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Finding the Fourth Proportional to 50,333.53, 75,498.55 and 12,893.97

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Solution

The fourth proportional to 50,333.53, 75,498.55 and 12,893.97 is: 19,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,333.53 : 75,498.55 = 12,893.97 : x
  2. Step 2: Convert to fraction form
    50,333.53/75,498.55 = 12,893.97/x
  3. Step 3: Cross multiply
    50,333.53x = 75,498.55 × 12,893.97
  4. Step 4: Simplify right side
    50,333.53x = 973,475,732.89
  5. Step 5: Solve for x
    x = 973,475,732.89/50,333.53
  6. Step 6: Final answer
    x = 19,340.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.