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Finding the Fourth Proportional to 37,293.82, 51,472.38 and 21,378.40

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Solution

The fourth proportional to 37,293.82, 51,472.38 and 21,378.40 is: 29,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,293.82 : 51,472.38 = 21,378.40 : x
  2. Step 2: Convert to fraction form
    37,293.82/51,472.38 = 21,378.40/x
  3. Step 3: Cross multiply
    37,293.82x = 51,472.38 × 21,378.40
  4. Step 4: Simplify right side
    37,293.82x = 1,100,397,128.59
  5. Step 5: Solve for x
    x = 1,100,397,128.59/37,293.82
  6. Step 6: Final answer
    x = 29,506.15

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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.