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Finding the Fourth Proportional to 106,598.30, 159,843.94 and 35,495.88

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Solution

The fourth proportional to 106,598.30, 159,843.94 and 35,495.88 is: 53,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598.30 : 159,843.94 = 35,495.88 : x
  2. Step 2: Convert to fraction form
    106,598.30/159,843.94 = 35,495.88/x
  3. Step 3: Cross multiply
    106,598.30x = 159,843.94 × 35,495.88
  4. Step 4: Simplify right side
    106,598.30x = 5,673,801,312.97
  5. Step 5: Solve for x
    x = 5,673,801,312.97/106,598.30
  6. Step 6: Final answer
    x = 53,226.00

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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.