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Finding the Fourth Proportional to 82,376.52, 123,564.78 and 20,046.48

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Solution

The fourth proportional to 82,376.52, 123,564.78 and 20,046.48 is: 30,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,376.52 : 123,564.78 = 20,046.48 : x
  2. Step 2: Convert to fraction form
    82,376.52/123,564.78 = 20,046.48/x
  3. Step 3: Cross multiply
    82,376.52x = 123,564.78 × 20,046.48
  4. Step 4: Simplify right side
    82,376.52x = 2,477,038,890.97
  5. Step 5: Solve for x
    x = 2,477,038,890.97/82,376.52
  6. Step 6: Final answer
    x = 30,069.72

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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.