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Finding the Fourth Proportional to 35,689.80, 49,251.36 and 19,775.16

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Solution

The fourth proportional to 35,689.80, 49,251.36 and 19,775.16 is: 27,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.80 : 49,251.36 = 19,775.16 : x
  2. Step 2: Convert to fraction form
    35,689.80/49,251.36 = 19,775.16/x
  3. Step 3: Cross multiply
    35,689.80x = 49,251.36 × 19,775.16
  4. Step 4: Simplify right side
    35,689.80x = 973,953,524.22
  5. Step 5: Solve for x
    x = 973,953,524.22/35,689.80
  6. Step 6: Final answer
    x = 27,289.41

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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.