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Finding the Fourth Proportional to 27,711.46, 41,561.96 and 7,448.50

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Solution

The fourth proportional to 27,711.46, 41,561.96 and 7,448.50 is: 11,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.46 : 41,561.96 = 7,448.50 : x
  2. Step 2: Convert to fraction form
    27,711.46/41,561.96 = 7,448.50/x
  3. Step 3: Cross multiply
    27,711.46x = 41,561.96 × 7,448.50
  4. Step 4: Simplify right side
    27,711.46x = 309,574,259.06
  5. Step 5: Solve for x
    x = 309,574,259.06/27,711.46
  6. Step 6: Final answer
    x = 11,171.34

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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.