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Finding the Fourth Proportional to 76,711.56, 105,861.90 and 43,178.28

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Solution

The fourth proportional to 76,711.56, 105,861.90 and 43,178.28 is: 59,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,711.56 : 105,861.90 = 43,178.28 : x
  2. Step 2: Convert to fraction form
    76,711.56/105,861.90 = 43,178.28/x
  3. Step 3: Cross multiply
    76,711.56x = 105,861.90 × 43,178.28
  4. Step 4: Simplify right side
    76,711.56x = 4,570,934,759.53
  5. Step 5: Solve for x
    x = 4,570,934,759.53/76,711.56
  6. Step 6: Final answer
    x = 59,586.00

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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.