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Finding the Fourth Proportional to 106,322.70, 159,505.65 and 36,209.10

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Solution

The fourth proportional to 106,322.70, 159,505.65 and 36,209.10 is: 54,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322.70 : 159,505.65 = 36,209.10 : x
  2. Step 2: Convert to fraction form
    106,322.70/159,505.65 = 36,209.10/x
  3. Step 3: Cross multiply
    106,322.70x = 159,505.65 × 36,209.10
  4. Step 4: Simplify right side
    106,322.70x = 5,775,556,031.42
  5. Step 5: Solve for x
    x = 5,775,556,031.42/106,322.70
  6. Step 6: Final answer
    x = 54,321.01

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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.