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Finding the Fourth Proportional to 123,811.23, 185,713.29 and 35,064.57

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Solution

The fourth proportional to 123,811.23, 185,713.29 and 35,064.57 is: 52,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,811.23 : 185,713.29 = 35,064.57 : x
  2. Step 2: Convert to fraction form
    123,811.23/185,713.29 = 35,064.57/x
  3. Step 3: Cross multiply
    123,811.23x = 185,713.29 × 35,064.57
  4. Step 4: Simplify right side
    123,811.23x = 6,511,956,657.14
  5. Step 5: Solve for x
    x = 6,511,956,657.14/123,811.23
  6. Step 6: Final answer
    x = 52,595.85

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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.