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Finding the Fourth Proportional to 37,580.13, 51,824.79 and 22,470.34

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Solution

The fourth proportional to 37,580.13, 51,824.79 and 22,470.34 is: 30,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.13 : 51,824.79 = 22,470.34 : x
  2. Step 2: Convert to fraction form
    37,580.13/51,824.79 = 22,470.34/x
  3. Step 3: Cross multiply
    37,580.13x = 51,824.79 × 22,470.34
  4. Step 4: Simplify right side
    37,580.13x = 1,164,520,410.38
  5. Step 5: Solve for x
    x = 1,164,520,410.38/37,580.13
  6. Step 6: Final answer
    x = 30,987.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.