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Finding the Fourth Proportional to 110,143.02, 165,214.70 and 27,037.02

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Solution

The fourth proportional to 110,143.02, 165,214.70 and 27,037.02 is: 40,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,143.02 : 165,214.70 = 27,037.02 : x
  2. Step 2: Convert to fraction form
    110,143.02/165,214.70 = 27,037.02/x
  3. Step 3: Cross multiply
    110,143.02x = 165,214.70 × 27,037.02
  4. Step 4: Simplify right side
    110,143.02x = 4,466,913,013.01
  5. Step 5: Solve for x
    x = 4,466,913,013.01/110,143.02
  6. Step 6: Final answer
    x = 40,555.57

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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.