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Finding the Fourth Proportional to 82,555.04, 123,832.56 and 20,225

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Solution

The fourth proportional to 82,555.04, 123,832.56 and 20,225 is: 30,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,555.04 : 123,832.56 = 20,225 : x
  2. Step 2: Convert to fraction form
    82,555.04/123,832.56 = 20,225/x
  3. Step 3: Cross multiply
    82,555.04x = 123,832.56 × 20,225
  4. Step 4: Simplify right side
    82,555.04x = 2,504,513,526
  5. Step 5: Solve for x
    x = 2,504,513,526/82,555.04
  6. Step 6: Final answer
    x = 30,337.50

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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.