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Finding the Fourth Proportional to 37,462.42, 51,698.10 and 21,546.46

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Solution

The fourth proportional to 37,462.42, 51,698.10 and 21,546.46 is: 29,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,462.42 : 51,698.10 = 21,546.46 : x
  2. Step 2: Convert to fraction form
    37,462.42/51,698.10 = 21,546.46/x
  3. Step 3: Cross multiply
    37,462.42x = 51,698.10 × 21,546.46
  4. Step 4: Simplify right side
    37,462.42x = 1,113,911,043.73
  5. Step 5: Solve for x
    x = 1,113,911,043.73/37,462.42
  6. Step 6: Final answer
    x = 29,734.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.