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Finding the Fourth Proportional to 35,575.83, 49,089.38 and 19,660.95

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Solution

The fourth proportional to 35,575.83, 49,089.38 and 19,660.95 is: 27,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,575.83 : 49,089.38 = 19,660.95 : x
  2. Step 2: Convert to fraction form
    35,575.83/49,089.38 = 19,660.95/x
  3. Step 3: Cross multiply
    35,575.83x = 49,089.38 × 19,660.95
  4. Step 4: Simplify right side
    35,575.83x = 965,143,747.41
  5. Step 5: Solve for x
    x = 965,143,747.41/35,575.83
  6. Step 6: Final answer
    x = 27,129.20

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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.