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Finding the Fourth Proportional to 74,667.94, 111,963.02 and 35,214.46

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Solution

The fourth proportional to 74,667.94, 111,963.02 and 35,214.46 is: 52,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,667.94 : 111,963.02 = 35,214.46 : x
  2. Step 2: Convert to fraction form
    74,667.94/111,963.02 = 35,214.46/x
  3. Step 3: Cross multiply
    74,667.94x = 111,963.02 × 35,214.46
  4. Step 4: Simplify right side
    74,667.94x = 3,942,716,553.38
  5. Step 5: Solve for x
    x = 3,942,716,553.38/74,667.94
  6. Step 6: Final answer
    x = 52,803.34

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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.