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Finding the Fourth Proportional to 38,364.52, 57,546.78 and 21,937

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Solution

The fourth proportional to 38,364.52, 57,546.78 and 21,937 is: 32,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,364.52 : 57,546.78 = 21,937 : x
  2. Step 2: Convert to fraction form
    38,364.52/57,546.78 = 21,937/x
  3. Step 3: Cross multiply
    38,364.52x = 57,546.78 × 21,937
  4. Step 4: Simplify right side
    38,364.52x = 1,262,403,712.86
  5. Step 5: Solve for x
    x = 1,262,403,712.86/38,364.52
  6. Step 6: Final answer
    x = 32,905.50

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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.