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Finding the Fourth Proportional to 38,704.50, 53,411.85 and 21,937.50

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Solution

The fourth proportional to 38,704.50, 53,411.85 and 21,937.50 is: 30,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.50 : 53,411.85 = 21,937.50 : x
  2. Step 2: Convert to fraction form
    38,704.50/53,411.85 = 21,937.50/x
  3. Step 3: Cross multiply
    38,704.50x = 53,411.85 × 21,937.50
  4. Step 4: Simplify right side
    38,704.50x = 1,171,722,459.38
  5. Step 5: Solve for x
    x = 1,171,722,459.38/38,704.50
  6. Step 6: Final answer
    x = 30,273.55

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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.