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Finding the Fourth Proportional to 27,470.50, 41,202.07 and 7,750.64

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Solution

The fourth proportional to 27,470.50, 41,202.07 and 7,750.64 is: 11,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.50 : 41,202.07 = 7,750.64 : x
  2. Step 2: Convert to fraction form
    27,470.50/41,202.07 = 7,750.64/x
  3. Step 3: Cross multiply
    27,470.50x = 41,202.07 × 7,750.64
  4. Step 4: Simplify right side
    27,470.50x = 319,342,495.45
  5. Step 5: Solve for x
    x = 319,342,495.45/27,470.50
  6. Step 6: Final answer
    x = 11,624.93

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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.