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Finding the Fourth Proportional to 106,429.65, 159,656.83 and 35,358.63

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Solution

The fourth proportional to 106,429.65, 159,656.83 and 35,358.63 is: 53,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,429.65 : 159,656.83 = 35,358.63 : x
  2. Step 2: Convert to fraction form
    106,429.65/159,656.83 = 35,358.63/x
  3. Step 3: Cross multiply
    106,429.65x = 159,656.83 × 35,358.63
  4. Step 4: Simplify right side
    106,429.65x = 5,645,247,266.48
  5. Step 5: Solve for x
    x = 5,645,247,266.48/106,429.65
  6. Step 6: Final answer
    x = 53,042.05

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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.