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Finding the Fourth Proportional to 32,776.63, 45,231.74 and 18,630.38

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Solution

The fourth proportional to 32,776.63, 45,231.74 and 18,630.38 is: 25,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.63 : 45,231.74 = 18,630.38 : x
  2. Step 2: Convert to fraction form
    32,776.63/45,231.74 = 18,630.38/x
  3. Step 3: Cross multiply
    32,776.63x = 45,231.74 × 18,630.38
  4. Step 4: Simplify right side
    32,776.63x = 842,684,504.26
  5. Step 5: Solve for x
    x = 842,684,504.26/32,776.63
  6. Step 6: Final answer
    x = 25,709.92

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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.