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Finding the Fourth Proportional to 49,114.50, 67,706.36 and 39,047

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Solution

The fourth proportional to 49,114.50, 67,706.36 and 39,047 is: 53,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,114.50 : 67,706.36 = 39,047 : x
  2. Step 2: Convert to fraction form
    49,114.50/67,706.36 = 39,047/x
  3. Step 3: Cross multiply
    49,114.50x = 67,706.36 × 39,047
  4. Step 4: Simplify right side
    49,114.50x = 2,643,730,238.92
  5. Step 5: Solve for x
    x = 2,643,730,238.92/49,114.50
  6. Step 6: Final answer
    x = 53,827.90

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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.