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Finding the Fourth Proportional to 49,791.88, 74,688.06 and 14,731.84

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Solution

The fourth proportional to 49,791.88, 74,688.06 and 14,731.84 is: 22,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,791.88 : 74,688.06 = 14,731.84 : x
  2. Step 2: Convert to fraction form
    49,791.88/74,688.06 = 14,731.84/x
  3. Step 3: Cross multiply
    49,791.88x = 74,688.06 × 14,731.84
  4. Step 4: Simplify right side
    49,791.88x = 1,100,292,549.83
  5. Step 5: Solve for x
    x = 1,100,292,549.83/49,791.88
  6. Step 6: Final answer
    x = 22,097.83

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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.