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Finding the Fourth Proportional to 86,199.68, 129,299.28 and 23,870

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Solution

The fourth proportional to 86,199.68, 129,299.28 and 23,870 is: 35,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,199.68 : 129,299.28 = 23,870 : x
  2. Step 2: Convert to fraction form
    86,199.68/129,299.28 = 23,870/x
  3. Step 3: Cross multiply
    86,199.68x = 129,299.28 × 23,870
  4. Step 4: Simplify right side
    86,199.68x = 3,086,373,813.60
  5. Step 5: Solve for x
    x = 3,086,373,813.60/86,199.68
  6. Step 6: Final answer
    x = 35,804.93

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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.