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Finding the Fourth Proportional to 35,775.36, 49,367.68 and 19,859.84

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Solution

The fourth proportional to 35,775.36, 49,367.68 and 19,859.84 is: 27,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.36 : 49,367.68 = 19,859.84 : x
  2. Step 2: Convert to fraction form
    35,775.36/49,367.68 = 19,859.84/x
  3. Step 3: Cross multiply
    35,775.36x = 49,367.68 × 19,859.84
  4. Step 4: Simplify right side
    35,775.36x = 980,434,225.97
  5. Step 5: Solve for x
    x = 980,434,225.97/35,775.36
  6. Step 6: Final answer
    x = 27,405.29

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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.