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Finding the Fourth Proportional to 35,667, 49,212.02 and 21,123.86

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Solution

The fourth proportional to 35,667, 49,212.02 and 21,123.86 is: 29,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667 : 49,212.02 = 21,123.86 : x
  2. Step 2: Convert to fraction form
    35,667/49,212.02 = 21,123.86/x
  3. Step 3: Cross multiply
    35,667x = 49,212.02 × 21,123.86
  4. Step 4: Simplify right side
    35,667x = 1,039,547,469.12
  5. Step 5: Solve for x
    x = 1,039,547,469.12/35,667
  6. Step 6: Final answer
    x = 29,145.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.