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Finding the Fourth Proportional to 66,083.81, 91,195.68 and 35,869.13

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Solution

The fourth proportional to 66,083.81, 91,195.68 and 35,869.13 is: 49,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,083.81 : 91,195.68 = 35,869.13 : x
  2. Step 2: Convert to fraction form
    66,083.81/91,195.68 = 35,869.13/x
  3. Step 3: Cross multiply
    66,083.81x = 91,195.68 × 35,869.13
  4. Step 4: Simplify right side
    66,083.81x = 3,271,109,245.38
  5. Step 5: Solve for x
    x = 3,271,109,245.38/66,083.81
  6. Step 6: Final answer
    x = 49,499.41

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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.