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Finding the Fourth Proportional to 35,567.70, 49,084.38 and 19,653.15

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Solution

The fourth proportional to 35,567.70, 49,084.38 and 19,653.15 is: 27,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,567.70 : 49,084.38 = 19,653.15 : x
  2. Step 2: Convert to fraction form
    35,567.70/49,084.38 = 19,653.15/x
  3. Step 3: Cross multiply
    35,567.70x = 49,084.38 × 19,653.15
  4. Step 4: Simplify right side
    35,567.70x = 964,662,682.80
  5. Step 5: Solve for x
    x = 964,662,682.80/35,567.70
  6. Step 6: Final answer
    x = 27,121.87

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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.