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Finding the Fourth Proportional to 38,012.25, 52,455.26 and 20,784.30

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Solution

The fourth proportional to 38,012.25, 52,455.26 and 20,784.30 is: 28,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.25 : 52,455.26 = 20,784.30 : x
  2. Step 2: Convert to fraction form
    38,012.25/52,455.26 = 20,784.30/x
  3. Step 3: Cross multiply
    38,012.25x = 52,455.26 × 20,784.30
  4. Step 4: Simplify right side
    38,012.25x = 1,090,245,756.50
  5. Step 5: Solve for x
    x = 1,090,245,756.50/38,012.25
  6. Step 6: Final answer
    x = 28,681.43

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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.