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Finding the Fourth Proportional to 49,741.76, 68,643.75 and 27,385.76

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Solution

The fourth proportional to 49,741.76, 68,643.75 and 27,385.76 is: 37,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,741.76 : 68,643.75 = 27,385.76 : x
  2. Step 2: Convert to fraction form
    49,741.76/68,643.75 = 27,385.76/x
  3. Step 3: Cross multiply
    49,741.76x = 68,643.75 × 27,385.76
  4. Step 4: Simplify right side
    49,741.76x = 1,879,861,263
  5. Step 5: Solve for x
    x = 1,879,861,263/49,741.76
  6. Step 6: Final answer
    x = 37,792.42

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1.5x scale

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.