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Finding the Fourth Proportional to 32,805.57, 49,211.91 and 12,029.07

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Solution

The fourth proportional to 32,805.57, 49,211.91 and 12,029.07 is: 18,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805.57 : 49,211.91 = 12,029.07 : x
  2. Step 2: Convert to fraction form
    32,805.57/49,211.91 = 12,029.07/x
  3. Step 3: Cross multiply
    32,805.57x = 49,211.91 × 12,029.07
  4. Step 4: Simplify right side
    32,805.57x = 591,973,510.22
  5. Step 5: Solve for x
    x = 591,973,510.22/32,805.57
  6. Step 6: Final answer
    x = 18,044.91

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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.