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Finding the Fourth Proportional to 38,634.66, 53,324.16 and 23,532.30

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Solution

The fourth proportional to 38,634.66, 53,324.16 and 23,532.30 is: 32,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,634.66 : 53,324.16 = 23,532.30 : x
  2. Step 2: Convert to fraction form
    38,634.66/53,324.16 = 23,532.30/x
  3. Step 3: Cross multiply
    38,634.66x = 53,324.16 × 23,532.30
  4. Step 4: Simplify right side
    38,634.66x = 1,254,840,130.37
  5. Step 5: Solve for x
    x = 1,254,840,130.37/38,634.66
  6. Step 6: Final answer
    x = 32,479.65

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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.