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Finding the Fourth Proportional to 33,167.12, 49,749.06 and 12,389

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Solution

The fourth proportional to 33,167.12, 49,749.06 and 12,389 is: 18,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.12 : 49,749.06 = 12,389 : x
  2. Step 2: Convert to fraction form
    33,167.12/49,749.06 = 12,389/x
  3. Step 3: Cross multiply
    33,167.12x = 49,749.06 × 12,389
  4. Step 4: Simplify right side
    33,167.12x = 616,341,104.34
  5. Step 5: Solve for x
    x = 616,341,104.34/33,167.12
  6. Step 6: Final answer
    x = 18,582.89

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