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Finding the Fourth Proportional to 35,929.71, 49,584.53 and 20,014.16

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Solution

The fourth proportional to 35,929.71, 49,584.53 and 20,014.16 is: 27,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,929.71 : 49,584.53 = 20,014.16 : x
  2. Step 2: Convert to fraction form
    35,929.71/49,584.53 = 20,014.16/x
  3. Step 3: Cross multiply
    35,929.71x = 49,584.53 × 20,014.16
  4. Step 4: Simplify right side
    35,929.71x = 992,392,519.06
  5. Step 5: Solve for x
    x = 992,392,519.06/35,929.71
  6. Step 6: Final answer
    x = 27,620.39

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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.