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Finding the Fourth Proportional to 32,665, 45,077.88 and 17,761

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Solution

The fourth proportional to 32,665, 45,077.88 and 17,761 is: 24,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665 : 45,077.88 = 17,761 : x
  2. Step 2: Convert to fraction form
    32,665/45,077.88 = 17,761/x
  3. Step 3: Cross multiply
    32,665x = 45,077.88 × 17,761
  4. Step 4: Simplify right side
    32,665x = 800,628,226.68
  5. Step 5: Solve for x
    x = 800,628,226.68/32,665
  6. Step 6: Final answer
    x = 24,510.28

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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.