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Finding the Fourth Proportional to 31,752.47, 43,782.46 and 20,252.02

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Solution

The fourth proportional to 31,752.47, 43,782.46 and 20,252.02 is: 27,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.47 : 43,782.46 = 20,252.02 : x
  2. Step 2: Convert to fraction form
    31,752.47/43,782.46 = 20,252.02/x
  3. Step 3: Cross multiply
    31,752.47x = 43,782.46 × 20,252.02
  4. Step 4: Simplify right side
    31,752.47x = 886,683,095.48
  5. Step 5: Solve for x
    x = 886,683,095.48/31,752.47
  6. Step 6: Final answer
    x = 27,924.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.