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Finding the Fourth Proportional to 76,591.42, 105,694.32 and 42,599.82

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Solution

The fourth proportional to 76,591.42, 105,694.32 and 42,599.82 is: 58,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,591.42 : 105,694.32 = 42,599.82 : x
  2. Step 2: Convert to fraction form
    76,591.42/105,694.32 = 42,599.82/x
  3. Step 3: Cross multiply
    76,591.42x = 105,694.32 × 42,599.82
  4. Step 4: Simplify right side
    76,591.42x = 4,502,559,007.02
  5. Step 5: Solve for x
    x = 4,502,559,007.02/76,591.42
  6. Step 6: Final answer
    x = 58,786.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.