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Finding the Fourth Proportional to 32,841.34, 49,239.51 and 11,780.92

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Solution

The fourth proportional to 32,841.34, 49,239.51 and 11,780.92 is: 17,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.34 : 49,239.51 = 11,780.92 : x
  2. Step 2: Convert to fraction form
    32,841.34/49,239.51 = 11,780.92/x
  3. Step 3: Cross multiply
    32,841.34x = 49,239.51 × 11,780.92
  4. Step 4: Simplify right side
    32,841.34x = 580,086,728.15
  5. Step 5: Solve for x
    x = 580,086,728.15/32,841.34
  6. Step 6: Final answer
    x = 17,663.31

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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.