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Finding the Fourth Proportional to 110,530.68, 165,815.70 and 51,433.08

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Solution

The fourth proportional to 110,530.68, 165,815.70 and 51,433.08 is: 77,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,530.68 : 165,815.70 = 51,433.08 : x
  2. Step 2: Convert to fraction form
    110,530.68/165,815.70 = 51,433.08/x
  3. Step 3: Cross multiply
    110,530.68x = 165,815.70 × 51,433.08
  4. Step 4: Simplify right side
    110,530.68x = 8,528,412,163.36
  5. Step 5: Solve for x
    x = 8,528,412,163.36/110,530.68
  6. Step 6: Final answer
    x = 77,158.78

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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.