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Finding the Fourth Proportional to 37,261.44, 51,424.56 and 21,348

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Solution

The fourth proportional to 37,261.44, 51,424.56 and 21,348 is: 29,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,261.44 : 51,424.56 = 21,348 : x
  2. Step 2: Convert to fraction form
    37,261.44/51,424.56 = 21,348/x
  3. Step 3: Cross multiply
    37,261.44x = 51,424.56 × 21,348
  4. Step 4: Simplify right side
    37,261.44x = 1,097,811,506.88
  5. Step 5: Solve for x
    x = 1,097,811,506.88/37,261.44
  6. Step 6: Final answer
    x = 29,462.40

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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.