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Finding the Fourth Proportional to 86,195.01, 129,320.11 and 35,617.80

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Solution

The fourth proportional to 86,195.01, 129,320.11 and 35,617.80 is: 53,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,195.01 : 129,320.11 = 35,617.80 : x
  2. Step 2: Convert to fraction form
    86,195.01/129,320.11 = 35,617.80/x
  3. Step 3: Cross multiply
    86,195.01x = 129,320.11 × 35,617.80
  4. Step 4: Simplify right side
    86,195.01x = 4,606,097,813.96
  5. Step 5: Solve for x
    x = 4,606,097,813.96/86,195.01
  6. Step 6: Final answer
    x = 53,438.10

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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.