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Finding the Fourth Proportional to 53,757, 74,181.15 and 29,882.79

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Solution

The fourth proportional to 53,757, 74,181.15 and 29,882.79 is: 41,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,757 : 74,181.15 = 29,882.79 : x
  2. Step 2: Convert to fraction form
    53,757/74,181.15 = 29,882.79/x
  3. Step 3: Cross multiply
    53,757x = 74,181.15 × 29,882.79
  4. Step 4: Simplify right side
    53,757x = 2,216,739,727.41
  5. Step 5: Solve for x
    x = 2,216,739,727.41/53,757
  6. Step 6: Final answer
    x = 41,236.30

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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.