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Finding the Fourth Proportional to 49,851.84, 74,832.48 and 24,884.88

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Solution

The fourth proportional to 49,851.84, 74,832.48 and 24,884.88 is: 37,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,851.84 : 74,832.48 = 24,884.88 : x
  2. Step 2: Convert to fraction form
    49,851.84/74,832.48 = 24,884.88/x
  3. Step 3: Cross multiply
    49,851.84x = 74,832.48 × 24,884.88
  4. Step 4: Simplify right side
    49,851.84x = 1,862,197,284.90
  5. Step 5: Solve for x
    x = 1,862,197,284.90/49,851.84
  6. Step 6: Final answer
    x = 37,354.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.