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Finding the Fourth Proportional to 31,104, 42,938.84 and 21,551.13

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Solution

The fourth proportional to 31,104, 42,938.84 and 21,551.13 is: 29,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 42,938.84 = 21,551.13 : x
  2. Step 2: Convert to fraction form
    31,104/42,938.84 = 21,551.13/x
  3. Step 3: Cross multiply
    31,104x = 42,938.84 × 21,551.13
  4. Step 4: Simplify right side
    31,104x = 925,380,576.77
  5. Step 5: Solve for x
    x = 925,380,576.77/31,104
  6. Step 6: Final answer
    x = 29,751.18

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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.