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Finding the Fourth Proportional to 76,614.24, 105,737.28 and 43,080

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Solution

The fourth proportional to 76,614.24, 105,737.28 and 43,080 is: 59,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,614.24 : 105,737.28 = 43,080 : x
  2. Step 2: Convert to fraction form
    76,614.24/105,737.28 = 43,080/x
  3. Step 3: Cross multiply
    76,614.24x = 105,737.28 × 43,080
  4. Step 4: Simplify right side
    76,614.24x = 4,555,162,022.40
  5. Step 5: Solve for x
    x = 4,555,162,022.40/76,614.24
  6. Step 6: Final answer
    x = 59,455.81

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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.