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Finding the Fourth Proportional to 32,765.63, 45,220.23 and 20,190.38

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Solution

The fourth proportional to 32,765.63, 45,220.23 and 20,190.38 is: 27,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.63 : 45,220.23 = 20,190.38 : x
  2. Step 2: Convert to fraction form
    32,765.63/45,220.23 = 20,190.38/x
  3. Step 3: Cross multiply
    32,765.63x = 45,220.23 × 20,190.38
  4. Step 4: Simplify right side
    32,765.63x = 913,013,401.29
  5. Step 5: Solve for x
    x = 913,013,401.29/32,765.63
  6. Step 6: Final answer
    x = 27,864.98

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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.