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Finding the Fourth Proportional to 76,713.12, 105,861.24 and 42,723

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Solution

The fourth proportional to 76,713.12, 105,861.24 and 42,723 is: 58,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,713.12 : 105,861.24 = 42,723 : x
  2. Step 2: Convert to fraction form
    76,713.12/105,861.24 = 42,723/x
  3. Step 3: Cross multiply
    76,713.12x = 105,861.24 × 42,723
  4. Step 4: Simplify right side
    76,713.12x = 4,522,709,756.52
  5. Step 5: Solve for x
    x = 4,522,709,756.52/76,713.12
  6. Step 6: Final answer
    x = 58,956.14

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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.