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Finding the Fourth Proportional to 54,302.80, 81,456.72 and 19,246

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Solution

The fourth proportional to 54,302.80, 81,456.72 and 19,246 is: 28,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.80 : 81,456.72 = 19,246 : x
  2. Step 2: Convert to fraction form
    54,302.80/81,456.72 = 19,246/x
  3. Step 3: Cross multiply
    54,302.80x = 81,456.72 × 19,246
  4. Step 4: Simplify right side
    54,302.80x = 1,567,716,033.12
  5. Step 5: Solve for x
    x = 1,567,716,033.12/54,302.80
  6. Step 6: Final answer
    x = 28,869.89

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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.