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Finding the Fourth Proportional to 32,660, 45,071.16 and 17,756

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Solution

The fourth proportional to 32,660, 45,071.16 and 17,756 is: 24,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,660 : 45,071.16 = 17,756 : x
  2. Step 2: Convert to fraction form
    32,660/45,071.16 = 17,756/x
  3. Step 3: Cross multiply
    32,660x = 45,071.16 × 17,756
  4. Step 4: Simplify right side
    32,660x = 800,283,516.96
  5. Step 5: Solve for x
    x = 800,283,516.96/32,660
  6. Step 6: Final answer
    x = 24,503.48

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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.