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Finding the Fourth Proportional to 49,829.63, 74,744.71 and 12,893.63

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Solution

The fourth proportional to 49,829.63, 74,744.71 and 12,893.63 is: 19,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,829.63 : 74,744.71 = 12,893.63 : x
  2. Step 2: Convert to fraction form
    49,829.63/74,744.71 = 12,893.63/x
  3. Step 3: Cross multiply
    49,829.63x = 74,744.71 × 12,893.63
  4. Step 4: Simplify right side
    49,829.63x = 963,730,229.24
  5. Step 5: Solve for x
    x = 963,730,229.24/49,829.63
  6. Step 6: Final answer
    x = 19,340.51

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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.