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Finding the Fourth Proportional to 27,572.12, 38,032.46 and 24,043.80

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Solution

The fourth proportional to 27,572.12, 38,032.46 and 24,043.80 is: 33,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572.12 : 38,032.46 = 24,043.80 : x
  2. Step 2: Convert to fraction form
    27,572.12/38,032.46 = 24,043.80/x
  3. Step 3: Cross multiply
    27,572.12x = 38,032.46 × 24,043.80
  4. Step 4: Simplify right side
    27,572.12x = 914,444,861.75
  5. Step 5: Solve for x
    x = 914,444,861.75/27,572.12
  6. Step 6: Final answer
    x = 33,165.56

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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.