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Finding the Fourth Proportional to 27,432.90, 41,150.88 and 7,709.94

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Solution

The fourth proportional to 27,432.90, 41,150.88 and 7,709.94 is: 11,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432.90 : 41,150.88 = 7,709.94 : x
  2. Step 2: Convert to fraction form
    27,432.90/41,150.88 = 7,709.94/x
  3. Step 3: Cross multiply
    27,432.90x = 41,150.88 × 7,709.94
  4. Step 4: Simplify right side
    27,432.90x = 317,270,815.75
  5. Step 5: Solve for x
    x = 317,270,815.75/27,432.90
  6. Step 6: Final answer
    x = 11,565.34

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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.