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Finding the Fourth Proportional to 38,525, 53,164.50 and 20,861

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Solution

The fourth proportional to 38,525, 53,164.50 and 20,861 is: 28,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525 : 53,164.50 = 20,861 : x
  2. Step 2: Convert to fraction form
    38,525/53,164.50 = 20,861/x
  3. Step 3: Cross multiply
    38,525x = 53,164.50 × 20,861
  4. Step 4: Simplify right side
    38,525x = 1,109,064,634.50
  5. Step 5: Solve for x
    x = 1,109,064,634.50/38,525
  6. Step 6: Final answer
    x = 28,788.18

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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.