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Finding the Fourth Proportional to 49,342.32, 68,088 and 27,833.64

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Solution

The fourth proportional to 49,342.32, 68,088 and 27,833.64 is: 38,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,342.32 : 68,088 = 27,833.64 : x
  2. Step 2: Convert to fraction form
    49,342.32/68,088 = 27,833.64/x
  3. Step 3: Cross multiply
    49,342.32x = 68,088 × 27,833.64
  4. Step 4: Simplify right side
    49,342.32x = 1,895,136,880.32
  5. Step 5: Solve for x
    x = 1,895,136,880.32/49,342.32
  6. Step 6: Final answer
    x = 38,407.94

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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.