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Finding the Fourth Proportional to 32,992.48, 49,494.48 and 14,524

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Solution

The fourth proportional to 32,992.48, 49,494.48 and 14,524 is: 21,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.48 : 49,494.48 = 14,524 : x
  2. Step 2: Convert to fraction form
    32,992.48/49,494.48 = 14,524/x
  3. Step 3: Cross multiply
    32,992.48x = 49,494.48 × 14,524
  4. Step 4: Simplify right side
    32,992.48x = 718,857,827.52
  5. Step 5: Solve for x
    x = 718,857,827.52/32,992.48
  6. Step 6: Final answer
    x = 21,788.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.