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Finding the Fourth Proportional to 49,103.25, 67,762.50 and 26,747.25

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Solution

The fourth proportional to 49,103.25, 67,762.50 and 26,747.25 is: 36,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,103.25 : 67,762.50 = 26,747.25 : x
  2. Step 2: Convert to fraction form
    49,103.25/67,762.50 = 26,747.25/x
  3. Step 3: Cross multiply
    49,103.25x = 67,762.50 × 26,747.25
  4. Step 4: Simplify right side
    49,103.25x = 1,812,460,528.13
  5. Step 5: Solve for x
    x = 1,812,460,528.13/49,103.25
  6. Step 6: Final answer
    x = 36,911.21

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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.