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Finding the Fourth Proportional to 49,803.49, 68,728.80 and 27,447.49

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Solution

The fourth proportional to 49,803.49, 68,728.80 and 27,447.49 is: 37,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803.49 : 68,728.80 = 27,447.49 : x
  2. Step 2: Convert to fraction form
    49,803.49/68,728.80 = 27,447.49/x
  3. Step 3: Cross multiply
    49,803.49x = 68,728.80 × 27,447.49
  4. Step 4: Simplify right side
    49,803.49x = 1,886,433,050.71
  5. Step 5: Solve for x
    x = 1,886,433,050.71/49,803.49
  6. Step 6: Final answer
    x = 37,877.53

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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.