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Finding the Fourth Proportional to 54,684, 82,036.80 and 19,626.24

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Solution

The fourth proportional to 54,684, 82,036.80 and 19,626.24 is: 29,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 82,036.80 = 19,626.24 : x
  2. Step 2: Convert to fraction form
    54,684/82,036.80 = 19,626.24/x
  3. Step 3: Cross multiply
    54,684x = 82,036.80 × 19,626.24
  4. Step 4: Simplify right side
    54,684x = 1,610,073,925.63
  5. Step 5: Solve for x
    x = 1,610,073,925.63/54,684
  6. Step 6: Final answer
    x = 29,443.24

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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.