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Finding the Fourth Proportional to 32,513.16, 44,767.94 and 27,722.28

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Solution

The fourth proportional to 32,513.16, 44,767.94 and 27,722.28 is: 38,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.16 : 44,767.94 = 27,722.28 : x
  2. Step 2: Convert to fraction form
    32,513.16/44,767.94 = 27,722.28/x
  3. Step 3: Cross multiply
    32,513.16x = 44,767.94 × 27,722.28
  4. Step 4: Simplify right side
    32,513.16x = 1,241,069,367.70
  5. Step 5: Solve for x
    x = 1,241,069,367.70/32,513.16
  6. Step 6: Final answer
    x = 38,171.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.