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Finding the Fourth Proportional to 38,602, 53,272.20 and 21,834.64

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Solution

The fourth proportional to 38,602, 53,272.20 and 21,834.64 is: 30,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602 : 53,272.20 = 21,834.64 : x
  2. Step 2: Convert to fraction form
    38,602/53,272.20 = 21,834.64/x
  3. Step 3: Cross multiply
    38,602x = 53,272.20 × 21,834.64
  4. Step 4: Simplify right side
    38,602x = 1,163,179,309.01
  5. Step 5: Solve for x
    x = 1,163,179,309.01/38,602
  6. Step 6: Final answer
    x = 30,132.62

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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.