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Finding the Fourth Proportional to 49,264, 73,895.68 and 12,328

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Solution

The fourth proportional to 49,264, 73,895.68 and 12,328 is: 18,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,264 : 73,895.68 = 12,328 : x
  2. Step 2: Convert to fraction form
    49,264/73,895.68 = 12,328/x
  3. Step 3: Cross multiply
    49,264x = 73,895.68 × 12,328
  4. Step 4: Simplify right side
    49,264x = 910,985,943.04
  5. Step 5: Solve for x
    x = 910,985,943.04/49,264
  6. Step 6: Final answer
    x = 18,491.92

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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.