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Finding the Fourth Proportional to 38,521.50, 53,159.67 and 20,857.50

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Solution

The fourth proportional to 38,521.50, 53,159.67 and 20,857.50 is: 28,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.50 : 53,159.67 = 20,857.50 : x
  2. Step 2: Convert to fraction form
    38,521.50/53,159.67 = 20,857.50/x
  3. Step 3: Cross multiply
    38,521.50x = 53,159.67 × 20,857.50
  4. Step 4: Simplify right side
    38,521.50x = 1,108,777,817.03
  5. Step 5: Solve for x
    x = 1,108,777,817.03/38,521.50
  6. Step 6: Final answer
    x = 28,783.35

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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.