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Finding the Fourth Proportional to 27,378, 37,766.52 and 18,409.68

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Solution

The fourth proportional to 27,378, 37,766.52 and 18,409.68 is: 25,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378 : 37,766.52 = 18,409.68 : x
  2. Step 2: Convert to fraction form
    27,378/37,766.52 = 18,409.68/x
  3. Step 3: Cross multiply
    27,378x = 37,766.52 × 18,409.68
  4. Step 4: Simplify right side
    27,378x = 695,269,547.91
  5. Step 5: Solve for x
    x = 695,269,547.91/27,378
  6. Step 6: Final answer
    x = 25,395.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.