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Finding the Fourth Proportional to 38,493.50, 53,121.19 and 20,829.50

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Solution

The fourth proportional to 38,493.50, 53,121.19 and 20,829.50 is: 28,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.50 : 53,121.19 = 20,829.50 : x
  2. Step 2: Convert to fraction form
    38,493.50/53,121.19 = 20,829.50/x
  3. Step 3: Cross multiply
    38,493.50x = 53,121.19 × 20,829.50
  4. Step 4: Simplify right side
    38,493.50x = 1,106,487,827.11
  5. Step 5: Solve for x
    x = 1,106,487,827.11/38,493.50
  6. Step 6: Final answer
    x = 28,744.80

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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.