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Finding the Fourth Proportional to 110,265.71, 165,378.81 and 29,213.28

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Solution

The fourth proportional to 110,265.71, 165,378.81 and 29,213.28 is: 43,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,265.71 : 165,378.81 = 29,213.28 : x
  2. Step 2: Convert to fraction form
    110,265.71/165,378.81 = 29,213.28/x
  3. Step 3: Cross multiply
    110,265.71x = 165,378.81 × 29,213.28
  4. Step 4: Simplify right side
    110,265.71x = 4,831,257,482.60
  5. Step 5: Solve for x
    x = 4,831,257,482.60/110,265.71
  6. Step 6: Final answer
    x = 43,814.69

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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.