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Finding the Fourth Proportional to 76,682.64, 105,821.22 and 42,690.60

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Solution

The fourth proportional to 76,682.64, 105,821.22 and 42,690.60 is: 58,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.64 : 105,821.22 = 42,690.60 : x
  2. Step 2: Convert to fraction form
    76,682.64/105,821.22 = 42,690.60/x
  3. Step 3: Cross multiply
    76,682.64x = 105,821.22 × 42,690.60
  4. Step 4: Simplify right side
    76,682.64x = 4,517,571,374.53
  5. Step 5: Solve for x
    x = 4,517,571,374.53/76,682.64
  6. Step 6: Final answer
    x = 58,912.57

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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.