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Finding the Fourth Proportional to 49,249, 73,873.50 and 12,313

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Solution

The fourth proportional to 49,249, 73,873.50 and 12,313 is: 18,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,249 : 73,873.50 = 12,313 : x
  2. Step 2: Convert to fraction form
    49,249/73,873.50 = 12,313/x
  3. Step 3: Cross multiply
    49,249x = 73,873.50 × 12,313
  4. Step 4: Simplify right side
    49,249x = 909,604,405.50
  5. Step 5: Solve for x
    x = 909,604,405.50/49,249
  6. Step 6: Final answer
    x = 18,469.50

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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.