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Finding the Fourth Proportional to 38,506.54, 53,142.60 and 23,395.72

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Solution

The fourth proportional to 38,506.54, 53,142.60 and 23,395.72 is: 32,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.54 : 53,142.60 = 23,395.72 : x
  2. Step 2: Convert to fraction form
    38,506.54/53,142.60 = 23,395.72/x
  3. Step 3: Cross multiply
    38,506.54x = 53,142.60 × 23,395.72
  4. Step 4: Simplify right side
    38,506.54x = 1,243,309,389.67
  5. Step 5: Solve for x
    x = 1,243,309,389.67/38,506.54
  6. Step 6: Final answer
    x = 32,288.27

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Why These Related Problems?

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