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Finding the Fourth Proportional to 123,803.41, 185,703 and 39,562.96

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Solution

The fourth proportional to 123,803.41, 185,703 and 39,562.96 is: 59,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,803.41 : 185,703 = 39,562.96 : x
  2. Step 2: Convert to fraction form
    123,803.41/185,703 = 39,562.96/x
  3. Step 3: Cross multiply
    123,803.41x = 185,703 × 39,562.96
  4. Step 4: Simplify right side
    123,803.41x = 7,346,960,360.88
  5. Step 5: Solve for x
    x = 7,346,960,360.88/123,803.41
  6. Step 6: Final answer
    x = 59,343.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.