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Finding the Fourth Proportional to 108,305.69, 162,389.32 and 52,033.84

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Solution

The fourth proportional to 108,305.69, 162,389.32 and 52,033.84 is: 78,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,305.69 : 162,389.32 = 52,033.84 : x
  2. Step 2: Convert to fraction form
    108,305.69/162,389.32 = 52,033.84/x
  3. Step 3: Cross multiply
    108,305.69x = 162,389.32 × 52,033.84
  4. Step 4: Simplify right side
    108,305.69x = 8,449,739,358.53
  5. Step 5: Solve for x
    x = 8,449,739,358.53/108,305.69
  6. Step 6: Final answer
    x = 78,017.51

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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.