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Finding the Fourth Proportional to 38,102.61, 52,582.03 and 21,107.12

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Solution

The fourth proportional to 38,102.61, 52,582.03 and 21,107.12 is: 29,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.61 : 52,582.03 = 21,107.12 : x
  2. Step 2: Convert to fraction form
    38,102.61/52,582.03 = 21,107.12/x
  3. Step 3: Cross multiply
    38,102.61x = 52,582.03 × 21,107.12
  4. Step 4: Simplify right side
    38,102.61x = 1,109,855,217.05
  5. Step 5: Solve for x
    x = 1,109,855,217.05/38,102.61
  6. Step 6: Final answer
    x = 29,128.06

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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.