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Finding the Fourth Proportional to 54,817, 82,176.18 and 19,732

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Solution

The fourth proportional to 54,817, 82,176.18 and 19,732 is: 29,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,817 : 82,176.18 = 19,732 : x
  2. Step 2: Convert to fraction form
    54,817/82,176.18 = 19,732/x
  3. Step 3: Cross multiply
    54,817x = 82,176.18 × 19,732
  4. Step 4: Simplify right side
    54,817x = 1,621,500,383.76
  5. Step 5: Solve for x
    x = 1,621,500,383.76/54,817
  6. Step 6: Final answer
    x = 29,580.25

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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.