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Finding the Fourth Proportional to 39,932.64, 55,106.94 and 22,938

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Solution

The fourth proportional to 39,932.64, 55,106.94 and 22,938 is: 31,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,932.64 : 55,106.94 = 22,938 : x
  2. Step 2: Convert to fraction form
    39,932.64/55,106.94 = 22,938/x
  3. Step 3: Cross multiply
    39,932.64x = 55,106.94 × 22,938
  4. Step 4: Simplify right side
    39,932.64x = 1,264,042,989.72
  5. Step 5: Solve for x
    x = 1,264,042,989.72/39,932.64
  6. Step 6: Final answer
    x = 31,654.38

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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.