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Finding the Fourth Proportional to 38,635.16, 53,324.82 and 23,532.80

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Solution

The fourth proportional to 38,635.16, 53,324.82 and 23,532.80 is: 32,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,635.16 : 53,324.82 = 23,532.80 : x
  2. Step 2: Convert to fraction form
    38,635.16/53,324.82 = 23,532.80/x
  3. Step 3: Cross multiply
    38,635.16x = 53,324.82 × 23,532.80
  4. Step 4: Simplify right side
    38,635.16x = 1,254,882,324.10
  5. Step 5: Solve for x
    x = 1,254,882,324.10/38,635.16
  6. Step 6: Final answer
    x = 32,480.32

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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.