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Finding the Fourth Proportional to 37,966.54, 52,393.86 and 21,199.54

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Solution

The fourth proportional to 37,966.54, 52,393.86 and 21,199.54 is: 29,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966.54 : 52,393.86 = 21,199.54 : x
  2. Step 2: Convert to fraction form
    37,966.54/52,393.86 = 21,199.54/x
  3. Step 3: Cross multiply
    37,966.54x = 52,393.86 × 21,199.54
  4. Step 4: Simplify right side
    37,966.54x = 1,110,725,730.82
  5. Step 5: Solve for x
    x = 1,110,725,730.82/37,966.54
  6. Step 6: Final answer
    x = 29,255.38

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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.