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Finding the Fourth Proportional to 38,580.32, 53,241.36 and 21,813.68

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Solution

The fourth proportional to 38,580.32, 53,241.36 and 21,813.68 is: 30,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580.32 : 53,241.36 = 21,813.68 : x
  2. Step 2: Convert to fraction form
    38,580.32/53,241.36 = 21,813.68/x
  3. Step 3: Cross multiply
    38,580.32x = 53,241.36 × 21,813.68
  4. Step 4: Simplify right side
    38,580.32x = 1,161,389,989.80
  5. Step 5: Solve for x
    x = 1,161,389,989.80/38,580.32
  6. Step 6: Final answer
    x = 30,103.17

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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.