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Finding the Fourth Proportional to 76,687.82, 105,828.19 and 44,426.84

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Solution

The fourth proportional to 76,687.82, 105,828.19 and 44,426.84 is: 61,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.82 : 105,828.19 = 44,426.84 : x
  2. Step 2: Convert to fraction form
    76,687.82/105,828.19 = 44,426.84/x
  3. Step 3: Cross multiply
    76,687.82x = 105,828.19 × 44,426.84
  4. Step 4: Simplify right side
    76,687.82x = 4,701,611,424.41
  5. Step 5: Solve for x
    x = 4,701,611,424.41/76,687.82
  6. Step 6: Final answer
    x = 61,308.45

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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.