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Finding the Fourth Proportional to 49,117.75, 67,782.50 and 26,761.75

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Solution

The fourth proportional to 49,117.75, 67,782.50 and 26,761.75 is: 36,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117.75 : 67,782.50 = 26,761.75 : x
  2. Step 2: Convert to fraction form
    49,117.75/67,782.50 = 26,761.75/x
  3. Step 3: Cross multiply
    49,117.75x = 67,782.50 × 26,761.75
  4. Step 4: Simplify right side
    49,117.75x = 1,813,978,319.38
  5. Step 5: Solve for x
    x = 1,813,978,319.38/49,117.75
  6. Step 6: Final answer
    x = 36,931.22

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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.