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Finding the Fourth Proportional to 35,923.50, 49,573.20 and 20,007.14

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Solution

The fourth proportional to 35,923.50, 49,573.20 and 20,007.14 is: 27,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,923.50 : 49,573.20 = 20,007.14 : x
  2. Step 2: Convert to fraction form
    35,923.50/49,573.20 = 20,007.14/x
  3. Step 3: Cross multiply
    35,923.50x = 49,573.20 × 20,007.14
  4. Step 4: Simplify right side
    35,923.50x = 991,817,952.65
  5. Step 5: Solve for x
    x = 991,817,952.65/35,923.50
  6. Step 6: Final answer
    x = 27,609.17

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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.