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Finding the Fourth Proportional to 57,183.54, 78,913.38 and 34,827.54

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Solution

The fourth proportional to 57,183.54, 78,913.38 and 34,827.54 is: 48,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,183.54 : 78,913.38 = 34,827.54 : x
  2. Step 2: Convert to fraction form
    57,183.54/78,913.38 = 34,827.54/x
  3. Step 3: Cross multiply
    57,183.54x = 78,913.38 × 34,827.54
  4. Step 4: Simplify right side
    57,183.54x = 2,748,358,898.49
  5. Step 5: Solve for x
    x = 2,748,358,898.49/57,183.54
  6. Step 6: Final answer
    x = 48,062.06

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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.