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Finding the Fourth Proportional to 76,908.10, 106,133 and 42,914.50

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Solution

The fourth proportional to 76,908.10, 106,133 and 42,914.50 is: 59,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,908.10 : 106,133 = 42,914.50 : x
  2. Step 2: Convert to fraction form
    76,908.10/106,133 = 42,914.50/x
  3. Step 3: Cross multiply
    76,908.10x = 106,133 × 42,914.50
  4. Step 4: Simplify right side
    76,908.10x = 4,554,644,628.50
  5. Step 5: Solve for x
    x = 4,554,644,628.50/76,908.10
  6. Step 6: Final answer
    x = 59,221.91

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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.