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Finding the Fourth Proportional to 76,975.36, 115,384.50 and 43,624.98

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Solution

The fourth proportional to 76,975.36, 115,384.50 and 43,624.98 is: 65,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,975.36 : 115,384.50 = 43,624.98 : x
  2. Step 2: Convert to fraction form
    76,975.36/115,384.50 = 43,624.98/x
  3. Step 3: Cross multiply
    76,975.36x = 115,384.50 × 43,624.98
  4. Step 4: Simplify right side
    76,975.36x = 5,033,646,504.81
  5. Step 5: Solve for x
    x = 5,033,646,504.81/76,975.36
  6. Step 6: Final answer
    x = 65,392.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.