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Finding the Fourth Proportional to 35,516.34, 49,012.38 and 19,600.65

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Solution

The fourth proportional to 35,516.34, 49,012.38 and 19,600.65 is: 27,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,516.34 : 49,012.38 = 19,600.65 : x
  2. Step 2: Convert to fraction form
    35,516.34/49,012.38 = 19,600.65/x
  3. Step 3: Cross multiply
    35,516.34x = 49,012.38 × 19,600.65
  4. Step 4: Simplify right side
    35,516.34x = 960,674,506.05
  5. Step 5: Solve for x
    x = 960,674,506.05/35,516.34
  6. Step 6: Final answer
    x = 27,048.80

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Why These Related Problems?

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