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Finding the Fourth Proportional to 48,391.84, 72,598.02 and 17,227

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Solution

The fourth proportional to 48,391.84, 72,598.02 and 17,227 is: 25,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,391.84 : 72,598.02 = 17,227 : x
  2. Step 2: Convert to fraction form
    48,391.84/72,598.02 = 17,227/x
  3. Step 3: Cross multiply
    48,391.84x = 72,598.02 × 17,227
  4. Step 4: Simplify right side
    48,391.84x = 1,250,646,090.54
  5. Step 5: Solve for x
    x = 1,250,646,090.54/48,391.84
  6. Step 6: Final answer
    x = 25,844.15

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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.