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Finding the Fourth Proportional to 54,818, 82,177.68 and 19,733

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Solution

The fourth proportional to 54,818, 82,177.68 and 19,733 is: 29,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,818 : 82,177.68 = 19,733 : x
  2. Step 2: Convert to fraction form
    54,818/82,177.68 = 19,733/x
  3. Step 3: Cross multiply
    54,818x = 82,177.68 × 19,733
  4. Step 4: Simplify right side
    54,818x = 1,621,612,159.44
  5. Step 5: Solve for x
    x = 1,621,612,159.44/54,818
  6. Step 6: Final answer
    x = 29,581.75

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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.