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Finding the Fourth Proportional to 27,784.54, 38,360.55 and 24,795.24

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Solution

The fourth proportional to 27,784.54, 38,360.55 and 24,795.24 is: 34,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.54 : 38,360.55 = 24,795.24 : x
  2. Step 2: Convert to fraction form
    27,784.54/38,360.55 = 24,795.24/x
  3. Step 3: Cross multiply
    27,784.54x = 38,360.55 × 24,795.24
  4. Step 4: Simplify right side
    27,784.54x = 951,159,043.78
  5. Step 5: Solve for x
    x = 951,159,043.78/27,784.54
  6. Step 6: Final answer
    x = 34,233.39

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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.