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Finding the Fourth Proportional to 82,313.85, 123,468 and 34,898.46

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Solution

The fourth proportional to 82,313.85, 123,468 and 34,898.46 is: 52,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,313.85 : 123,468 = 34,898.46 : x
  2. Step 2: Convert to fraction form
    82,313.85/123,468 = 34,898.46/x
  3. Step 3: Cross multiply
    82,313.85x = 123,468 × 34,898.46
  4. Step 4: Simplify right side
    82,313.85x = 4,308,843,059.28
  5. Step 5: Solve for x
    x = 4,308,843,059.28/82,313.85
  6. Step 6: Final answer
    x = 52,346.51

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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.