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Finding the Fourth Proportional to 38,106.90, 52,582.77 and 21,108.78

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Solution

The fourth proportional to 38,106.90, 52,582.77 and 21,108.78 is: 29,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106.90 : 52,582.77 = 21,108.78 : x
  2. Step 2: Convert to fraction form
    38,106.90/52,582.77 = 21,108.78/x
  3. Step 3: Cross multiply
    38,106.90x = 52,582.77 × 21,108.78
  4. Step 4: Simplify right side
    38,106.90x = 1,109,958,123.72
  5. Step 5: Solve for x
    x = 1,109,958,123.72/38,106.90
  6. Step 6: Final answer
    x = 29,127.48

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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.