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Finding the Fourth Proportional to 35,689.38, 49,250.70 and 19,773.78

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Solution

The fourth proportional to 35,689.38, 49,250.70 and 19,773.78 is: 27,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.38 : 49,250.70 = 19,773.78 : x
  2. Step 2: Convert to fraction form
    35,689.38/49,250.70 = 19,773.78/x
  3. Step 3: Cross multiply
    35,689.38x = 49,250.70 × 19,773.78
  4. Step 4: Simplify right side
    35,689.38x = 973,872,506.65
  5. Step 5: Solve for x
    x = 973,872,506.65/35,689.38
  6. Step 6: Final answer
    x = 27,287.46

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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.