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Finding the Fourth Proportional to 40,567, 55,982.46 and 22,903

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Solution

The fourth proportional to 40,567, 55,982.46 and 22,903 is: 31,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,567 : 55,982.46 = 22,903 : x
  2. Step 2: Convert to fraction form
    40,567/55,982.46 = 22,903/x
  3. Step 3: Cross multiply
    40,567x = 55,982.46 × 22,903
  4. Step 4: Simplify right side
    40,567x = 1,282,166,281.38
  5. Step 5: Solve for x
    x = 1,282,166,281.38/40,567
  6. Step 6: Final answer
    x = 31,606.14

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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.