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Finding the Fourth Proportional to 108,047.20, 162,022.20 and 41,465.20

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Solution

The fourth proportional to 108,047.20, 162,022.20 and 41,465.20 is: 62,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,047.20 : 162,022.20 = 41,465.20 : x
  2. Step 2: Convert to fraction form
    108,047.20/162,022.20 = 41,465.20/x
  3. Step 3: Cross multiply
    108,047.20x = 162,022.20 × 41,465.20
  4. Step 4: Simplify right side
    108,047.20x = 6,718,282,927.44
  5. Step 5: Solve for x
    x = 6,718,282,927.44/108,047.20
  6. Step 6: Final answer
    x = 62,179.15

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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.