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Finding the Fourth Proportional to 35,903.58, 49,545 and 19,767.77

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Solution

The fourth proportional to 35,903.58, 49,545 and 19,767.77 is: 27,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,903.58 : 49,545 = 19,767.77 : x
  2. Step 2: Convert to fraction form
    35,903.58/49,545 = 19,767.77/x
  3. Step 3: Cross multiply
    35,903.58x = 49,545 × 19,767.77
  4. Step 4: Simplify right side
    35,903.58x = 979,394,164.65
  5. Step 5: Solve for x
    x = 979,394,164.65/35,903.58
  6. Step 6: Final answer
    x = 27,278.45

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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.