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Finding the Fourth Proportional to 38,729.40, 53,447.22 and 21,737.40

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Solution

The fourth proportional to 38,729.40, 53,447.22 and 21,737.40 is: 29,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,729.40 : 53,447.22 = 21,737.40 : x
  2. Step 2: Convert to fraction form
    38,729.40/53,447.22 = 21,737.40/x
  3. Step 3: Cross multiply
    38,729.40x = 53,447.22 × 21,737.40
  4. Step 4: Simplify right side
    38,729.40x = 1,161,803,600.03
  5. Step 5: Solve for x
    x = 1,161,803,600.03/38,729.40
  6. Step 6: Final answer
    x = 29,997.98

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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.