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Finding the Fourth Proportional to 48,409.52, 66,802 and 27,188.40

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Solution

The fourth proportional to 48,409.52, 66,802 and 27,188.40 is: 37,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409.52 : 66,802 = 27,188.40 : x
  2. Step 2: Convert to fraction form
    48,409.52/66,802 = 27,188.40/x
  3. Step 3: Cross multiply
    48,409.52x = 66,802 × 27,188.40
  4. Step 4: Simplify right side
    48,409.52x = 1,816,239,496.80
  5. Step 5: Solve for x
    x = 1,816,239,496.80/48,409.52
  6. Step 6: Final answer
    x = 37,518.23

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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.