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Finding the Fourth Proportional to 49,253, 73,879.52 and 12,317

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Solution

The fourth proportional to 49,253, 73,879.52 and 12,317 is: 18,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,253 : 73,879.52 = 12,317 : x
  2. Step 2: Convert to fraction form
    49,253/73,879.52 = 12,317/x
  3. Step 3: Cross multiply
    49,253x = 73,879.52 × 12,317
  4. Step 4: Simplify right side
    49,253x = 909,974,047.84
  5. Step 5: Solve for x
    x = 909,974,047.84/49,253
  6. Step 6: Final answer
    x = 18,475.51

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Why These Related Problems?

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