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Finding the Fourth Proportional to 49,785.81, 68,774.10 and 34,670.91

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Solution

The fourth proportional to 49,785.81, 68,774.10 and 34,670.91 is: 47,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,785.81 : 68,774.10 = 34,670.91 : x
  2. Step 2: Convert to fraction form
    49,785.81/68,774.10 = 34,670.91/x
  3. Step 3: Cross multiply
    49,785.81x = 68,774.10 × 34,670.91
  4. Step 4: Simplify right side
    49,785.81x = 2,384,460,631.43
  5. Step 5: Solve for x
    x = 2,384,460,631.43/49,785.81
  6. Step 6: Final answer
    x = 47,894.38

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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.