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Finding the Fourth Proportional to 76,761.54, 105,953.40 and 49,906.80

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Solution

The fourth proportional to 76,761.54, 105,953.40 and 49,906.80 is: 68,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,761.54 : 105,953.40 = 49,906.80 : x
  2. Step 2: Convert to fraction form
    76,761.54/105,953.40 = 49,906.80/x
  3. Step 3: Cross multiply
    76,761.54x = 105,953.40 × 49,906.80
  4. Step 4: Simplify right side
    76,761.54x = 5,287,795,143.12
  5. Step 5: Solve for x
    x = 5,287,795,143.12/76,761.54
  6. Step 6: Final answer
    x = 68,886.00

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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.