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Finding the Fourth Proportional to 49,059.10, 67,701.70 and 27,838.32

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Solution

The fourth proportional to 49,059.10, 67,701.70 and 27,838.32 is: 38,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,059.10 : 67,701.70 = 27,838.32 : x
  2. Step 2: Convert to fraction form
    49,059.10/67,701.70 = 27,838.32/x
  3. Step 3: Cross multiply
    49,059.10x = 67,701.70 × 27,838.32
  4. Step 4: Simplify right side
    49,059.10x = 1,884,701,589.14
  5. Step 5: Solve for x
    x = 1,884,701,589.14/49,059.10
  6. Step 6: Final answer
    x = 38,416.96

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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.