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Finding the Fourth Proportional to 27,856.48, 41,788.92 and 10,091.32

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Solution

The fourth proportional to 27,856.48, 41,788.92 and 10,091.32 is: 15,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.48 : 41,788.92 = 10,091.32 : x
  2. Step 2: Convert to fraction form
    27,856.48/41,788.92 = 10,091.32/x
  3. Step 3: Cross multiply
    27,856.48x = 41,788.92 × 10,091.32
  4. Step 4: Simplify right side
    27,856.48x = 421,705,364.17
  5. Step 5: Solve for x
    x = 421,705,364.17/27,856.48
  6. Step 6: Final answer
    x = 15,138.50

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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.