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Finding the Fourth Proportional to 32,792.44, 49,176.54 and 11,726.80

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Solution

The fourth proportional to 32,792.44, 49,176.54 and 11,726.80 is: 17,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,792.44 : 49,176.54 = 11,726.80 : x
  2. Step 2: Convert to fraction form
    32,792.44/49,176.54 = 11,726.80/x
  3. Step 3: Cross multiply
    32,792.44x = 49,176.54 × 11,726.80
  4. Step 4: Simplify right side
    32,792.44x = 576,683,449.27
  5. Step 5: Solve for x
    x = 576,683,449.27/32,792.44
  6. Step 6: Final answer
    x = 17,585.87

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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.