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Finding the Fourth Proportional to 34,856.10, 48,105.54 and 20,709

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Solution

The fourth proportional to 34,856.10, 48,105.54 and 20,709 is: 28,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,856.10 : 48,105.54 = 20,709 : x
  2. Step 2: Convert to fraction form
    34,856.10/48,105.54 = 20,709/x
  3. Step 3: Cross multiply
    34,856.10x = 48,105.54 × 20,709
  4. Step 4: Simplify right side
    34,856.10x = 996,217,627.86
  5. Step 5: Solve for x
    x = 996,217,627.86/34,856.10
  6. Step 6: Final answer
    x = 28,580.87

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