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Finding the Fourth Proportional to 38,701.38, 53,408.52 and 21,709.40

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Solution

The fourth proportional to 38,701.38, 53,408.52 and 21,709.40 is: 29,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,701.38 : 53,408.52 = 21,709.40 : x
  2. Step 2: Convert to fraction form
    38,701.38/53,408.52 = 21,709.40/x
  3. Step 3: Cross multiply
    38,701.38x = 53,408.52 × 21,709.40
  4. Step 4: Simplify right side
    38,701.38x = 1,159,466,815.54
  5. Step 5: Solve for x
    x = 1,159,466,815.54/38,701.38
  6. Step 6: Final answer
    x = 29,959.31

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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.