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Finding the Fourth Proportional to 38,107, 52,582.40 and 21,107.03

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Solution

The fourth proportional to 38,107, 52,582.40 and 21,107.03 is: 29,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,107 : 52,582.40 = 21,107.03 : x
  2. Step 2: Convert to fraction form
    38,107/52,582.40 = 21,107.03/x
  3. Step 3: Cross multiply
    38,107x = 52,582.40 × 21,107.03
  4. Step 4: Simplify right side
    38,107x = 1,109,857,925.82
  5. Step 5: Solve for x
    x = 1,109,857,925.82/38,107
  6. Step 6: Final answer
    x = 29,124.78

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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.