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Finding the Fourth Proportional to 49,515.16, 68,357.47 and 38,243

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Solution

The fourth proportional to 49,515.16, 68,357.47 and 38,243 is: 52,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,515.16 : 68,357.47 = 38,243 : x
  2. Step 2: Convert to fraction form
    49,515.16/68,357.47 = 38,243/x
  3. Step 3: Cross multiply
    49,515.16x = 68,357.47 × 38,243
  4. Step 4: Simplify right side
    49,515.16x = 2,614,194,725.21
  5. Step 5: Solve for x
    x = 2,614,194,725.21/49,515.16
  6. Step 6: Final answer
    x = 52,795.85

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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.