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Finding the Fourth Proportional to 38,490.94, 53,114.46 and 21,493.85

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Solution

The fourth proportional to 38,490.94, 53,114.46 and 21,493.85 is: 29,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490.94 : 53,114.46 = 21,493.85 : x
  2. Step 2: Convert to fraction form
    38,490.94/53,114.46 = 21,493.85/x
  3. Step 3: Cross multiply
    38,490.94x = 53,114.46 × 21,493.85
  4. Step 4: Simplify right side
    38,490.94x = 1,141,634,236.07
  5. Step 5: Solve for x
    x = 1,141,634,236.07/38,490.94
  6. Step 6: Final answer
    x = 29,659.82

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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.